105331792 has 20 divisors (see below), whose sum is σ = 204847380. Its totient is φ = 52467968.

The previous prime is 105331783. The next prime is 105331879. The reversal of 105331792 is 297133501.

It can be written as a sum of positive squares in 2 ways, for example, as 41267776 + 64064016 = 6424^2 + 8004^2 .

It is a super-2 number, since 2×105331792² = 22189572811862528, 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 3 ways as a sum of consecutive naturals, for example, 7933 + ... + 16540.

It is an arithmetic number, because the mean of its divisors is an integer number (10242369).

Almost surely, 2^105331792 is an apocalyptic number.

It is an amenable number.

105331792 is a deficient number, since it is larger than the sum of its proper divisors (99515588).

105331792 is a wasteful number, since it uses less digits than its factorization.

105331792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24750 (or 24744 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 105331792 is about 10263.1277883499. The cubic root of 105331792 is about 472.2657939916.

The spelling of 105331792 in words is "one hundred five million, three hundred thirty-one thousand, seven hundred ninety-two".