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106634608 = 24173071277
BaseRepresentation
bin1100101101100…
…01110101110000
321102122121011221
412112301311300
5204244301413
614325314424
72433244033
oct626616560
9242577157
10106634608
1155213183
122b865a14
1319127602
141023b01a
15956568d
hex65b1d70

106634608 has 40 divisors (see below), whose sum is σ = 219642192. Its totient is φ = 49978368.

The previous prime is 106634603. The next prime is 106634609. The reversal of 106634608 is 806436601.

It is a super-2 number, since 2×1066346082 = 22741879246627328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106634603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82866 + ... + 84142.

Almost surely, 2106634608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106634608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109821096).

106634608 is an abundant number, since it is smaller than the sum of its proper divisors (113007584).

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

106634608 is a wasteful number, since it uses less digits than its factorization.

106634608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 106634608 is about 10326.4034397267. The cubic root of 106634608 is about 474.2049236476.

The spelling of 106634608 in words is "one hundred six million, six hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 307 614 1228 1277 2456 2554 4912 5108 5219 10216 10438 20432 20876 21709 41752 43418 83504 86836 173672 347344 392039 784078 1568156 3136312 6272624 6664663 13329326 26658652 53317304 106634608