105736672 has 24 divisors (see below), whose sum is σ = 219126600. Its totient is φ = 50085504.

The previous prime is 105736669. The next prime is 105736703. The reversal of 105736672 is 276637501.

It is a super-2 number, since 2×105736672² = 22360487611271168, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 86347 + ... + 87562.

It is an arithmetic number, because the mean of its divisors is an integer number (9130275).

Almost surely, 2^105736672 is an apocalyptic number.

It is an amenable number.

105736672 is an abundant number, since it is smaller than the sum of its proper divisors (113389928).

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

105736672 is a wasteful number, since it uses less digits than its factorization.

105736672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173938 (or 173930 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 105736672 is about 10282.8338506464. The cubic root of 105736672 is about 472.8701272045.

The spelling of 105736672 in words is "one hundred five million, seven hundred thirty-six thousand, six hundred seventy-two".