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107115132 = 22310783423
BaseRepresentation
bin1100110001001…
…11001001111100
321110120000100010
412120213021330
5204410141012
614343503220
72440315005
oct630471174
9243500303
10107115132
1155511203
122ba57b10
1319265247
14103241ac
15960cc3c
hex662727c

107115132 has 24 divisors (see below), whose sum is σ = 252274176. Its totient is φ = 35370928.

The previous prime is 107115131. The next prime is 107115139. The reversal of 107115132 is 231511701.

It is a happy number.

It is a super-2 number, since 2×1071151322 = 22947303006754848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107115099 and 107115108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107115131) 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, 40428 + ... + 42995.

It is an arithmetic number, because the mean of its divisors is an integer number (10511424).

Almost surely, 2107115132 is an apocalyptic number.

107115132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107115132 is an abundant number, since it is smaller than the sum of its proper divisors (145159044).

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

107115132 is a wasteful number, since it uses less digits than its factorization.

107115132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83537 (or 83535 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 107115132 is about 10349.6440518503. The cubic root of 107115132 is about 474.9161543604.

Adding to 107115132 its reverse (231511701), we get a palindrome (338626833).

The spelling of 107115132 in words is "one hundred seven million, one hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 107 214 321 428 642 1284 83423 166846 250269 333692 500538 1001076 8926261 17852522 26778783 35705044 53557566 107115132