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106160532 = 223292571187
BaseRepresentation
bin1100101001111…
…10000110010100
321101202111212120
412110332012110
5204134114112
614311215540
72426230632
oct624760624
9241674776
10106160532
1154a19a85
122b6775b0
1318cbc8aa
1410156352
1594bee8c
hex653e194

106160532 has 48 divisors (see below), whose sum is σ = 257463360. Its totient is φ = 34004992.

The previous prime is 106160531. The next prime is 106160533. The reversal of 106160532 is 235061601.

It is an interprime number because it is at equal distance from previous prime (106160531) and next prime (106160533).

It is a super-2 number, since 2×1061605322 = 22540117109046048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106160531) 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 15 ways as a sum of consecutive naturals, for example, 88843 + ... + 90029.

It is an arithmetic number, because the mean of its divisors is an integer number (5363820).

Almost surely, 2106160532 is an apocalyptic number.

106160532 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 106160532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128731680).

106160532 is an abundant number, since it is smaller than the sum of its proper divisors (151302828).

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

106160532 is a wasteful number, since it uses less digits than its factorization.

106160532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106160532 is about 10303.4233146076. The cubic root of 106160532 is about 473.5011397792.

The spelling of 106160532 in words is "one hundred six million, one hundred sixty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 257 348 514 771 1028 1187 1542 2374 3084 3561 4748 7122 7453 14244 14906 22359 29812 34423 44718 68846 89436 103269 137692 206538 305059 413076 610118 915177 1220236 1830354 3660708 8846711 17693422 26540133 35386844 53080266 106160532