105937672 has 16 divisors (see below), whose sum is σ = 202381740. Its totient is φ = 51969216.

The previous prime is 105937649. The next prime is 105937687. The reversal of 105937672 is 276739501.

It can be written as a sum of positive squares in 2 ways, for example, as 88247236 + 17690436 = 9394^2 + 4206^2 .

It is a super-2 number, since 2×105937672² = 22445580697559168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124503 + ... + 125350.

Almost surely, 2^105937672 is an apocalyptic number.

It is an amenable number.

105937672 is a deficient number, since it is larger than the sum of its proper divisors (96444068).

105937672 is a wasteful number, since it uses less digits than its factorization.

105937672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249912 (or 249908 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 105937672 is about 10292.6027806381. The cubic root of 105937672 is about 473.1695715091.

The spelling of 105937672 in words is "one hundred five million, nine hundred thirty-seven thousand, six hundred seventy-two".