105629872 has 20 divisors (see below), whose sum is σ = 204830640. Its totient is φ = 52770368.

The previous prime is 105629863. The next prime is 105629879. The reversal of 105629872 is 278926501.

It is a super-2 number, since 2×105629872² = 22315339717472768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105629879) 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, 25413 + ... + 29275.

It is an arithmetic number, because the mean of its divisors is an integer number (10241532).

Almost surely, 2^105629872 is an apocalyptic number.

It is an amenable number.

105629872 is a deficient number, since it is larger than the sum of its proper divisors (99200768).

105629872 is a wasteful number, since it uses less digits than its factorization.

105629872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 105629872 is about 10277.6394176873. The cubic root of 105629872 is about 472.7108650751.

The spelling of 105629872 in words is "one hundred five million, six hundred twenty-nine thousand, eight hundred seventy-two".