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106035136 = 262957131
BaseRepresentation
bin1100101000111…
…11011111000000
321101112010212021
412110133133000
5204121111021
614304411224
72425166224
oct624373700
9241463767
10106035136
1154943849
122b616b14
1318c777ac
1410122784
159497c41
hex651f7c0

106035136 has 28 divisors (see below), whose sum is σ = 217672920. Its totient is φ = 51188480.

The previous prime is 106035121. The next prime is 106035161. The reversal of 106035136 is 631530601.

It is a super-2 number, since 2×1060351362 = 22486900133076992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106035136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26710 + ... + 30421.

Almost surely, 2106035136 is an apocalyptic number.

106035136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106035136 is an abundant number, since it is smaller than the sum of its proper divisors (111637784).

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

106035136 is an equidigital number, since it uses as much as digits as its factorization.

106035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57172 (or 57162 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 106035136 is about 10297.3363546113. The cubic root of 106035136 is about 473.3146343646.

Adding to 106035136 its reverse (631530601), we get a palindrome (737565737).

The spelling of 106035136 in words is "one hundred six million, thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 57131 114262 228524 457048 914096 1656799 1828192 3313598 3656384 6627196 13254392 26508784 53017568 106035136