105937712 has 20 divisors (see below), whose sum is σ = 205856616. Its totient is φ = 52813440.

The previous prime is 105937709. The next prime is 105937717. The reversal of 105937712 is 217739501.

It is a happy number.

It is a super-2 number, since 2×105937712² = 22445597647589888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105937717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3989 + ... + 15092.

Almost surely, 2^105937712 is an apocalyptic number.

It is an amenable number.

105937712 is a deficient number, since it is larger than the sum of its proper divisors (99918904).

105937712 is a wasteful number, since it uses less digits than its factorization.

105937712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19436 (or 19430 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 105937712 is about 10292.6047237811. The cubic root of 105937712 is about 473.1696310623.

The spelling of 105937712 in words is "one hundred five million, nine hundred thirty-seven thousand, seven hundred twelve".