105672112 has 40 divisors (see below), whose sum is σ = 251990816. Its totient is φ = 41803776.

The previous prime is 105672101. The next prime is 105672131. The reversal of 105672112 is 211276501.

It is a super-2 number, since 2×105672112² = 22333190509081088, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34833 + ... + 37744.

Almost surely, 2^105672112 is an apocalyptic number.

It is an amenable number.

105672112 is an abundant number, since it is smaller than the sum of its proper divisors (146318704).

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

105672112 is a wasteful number, since it uses less digits than its factorization.

105672112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72605 (or 72599 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 105672112 is about 10279.6941588746. The cubic root of 105672112 is about 472.7738669691.

The spelling of 105672112 in words is "one hundred five million, six hundred seventy-two thousand, one hundred twelve".