105130632 has 32 divisors (see below), whose sum is σ = 263422080. Its totient is φ = 34964160.

The previous prime is 105130607. The next prime is 105130643. The reversal of 105130632 is 236031501.

It is a super-2 number, since 2×105130632² = 22104899569438848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105130599 and 105130608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6382 + ... + 15842.

It is an arithmetic number, because the mean of its divisors is an integer number (8231940).

Almost surely, 2^105130632 is an apocalyptic number.

105130632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105130632 is an abundant number, since it is smaller than the sum of its proper divisors (158291448).

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

105130632 is a wasteful number, since it uses less digits than its factorization.

105130632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9933 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105130632 is about 10253.3229735535. The cubic root of 105130632 is about 471.9649619687.

The spelling of 105130632 in words is "one hundred five million, one hundred thirty thousand, six hundred thirty-two".