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108734112 = 25321931641
BaseRepresentation
bin1100111101100…
…10011010100000
321120121021011100
412132302122200
5210313442422
614442314400
72460140034
oct636623240
9246537140
10108734112
1156417603
12304b8a00
13196b1116
14106261c4
15982c7ac
hex67b26a0

108734112 has 144 divisors (see below), whose sum is σ = 336510720. Its totient is φ = 33177600.

The previous prime is 108734089. The next prime is 108734117. The reversal of 108734112 is 211437801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1087341122 = 23646214224857088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108734117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169312 + ... + 169952.

It is an arithmetic number, because the mean of its divisors is an integer number (2336880).

Almost surely, 2108734112 is an apocalyptic number.

108734112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108734112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168255360).

108734112 is an abundant number, since it is smaller than the sum of its proper divisors (227776608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108734112 is a wasteful number, since it uses less digits than its factorization.

108734112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 108734112 is about 10427.5650081886. The cubic root of 108734112 is about 477.2968893940.

The spelling of 108734112 in words is "one hundred eight million, seven hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 641 684 744 912 992 1116 1178 1282 1368 1488 1767 1824 1923 2232 2356 2564 2736 2976 3534 3846 4464 4712 5128 5301 5472 5769 7068 7692 8928 9424 10256 10602 11538 12179 14136 15384 18848 19871 20512 21204 23076 24358 28272 30768 36537 39742 42408 46152 48716 56544 59613 61536 73074 79484 84816 92304 97432 109611 119226 146148 158968 169632 178839 184608 194864 219222 238452 292296 317936 357678 377549 389728 438444 476904 584592 635872 715356 755098 876888 953808 1132647 1169184 1430712 1510196 1753776 1907616 2265294 2861424 3020392 3397941 3507552 4530588 5722848 6040784 6795882 9061176 12081568 13591764 18122352 27183528 36244704 54367056 108734112