105937972 has 48 divisors (see below), whose sum is σ = 216536320. Its totient is φ = 44416512.

The previous prime is 105937969. The next prime is 105938017. The reversal of 105937972 is 279739501.

It is a super-2 number, since 2×105937972² = 22445707822945568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314188 + ... + 314524.

Almost surely, 2^105937972 is an apocalyptic number.

It is an amenable number.

105937972 is an abundant number, since it is smaller than the sum of its proper divisors (110598348).

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

105937972 is a wasteful number, since it uses less digits than its factorization.

105937972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 43.

The square root of 105937972 is about 10292.6173542010. The cubic root of 105937972 is about 473.1700181577.

The spelling of 105937972 in words is "one hundred five million, nine hundred thirty-seven thousand, nine hundred seventy-two".