105012792 has 48 divisors (see below), whose sum is σ = 284899680. Its totient is φ = 34944000.

The previous prime is 105012749. The next prime is 105012797. The reversal of 105012792 is 297210501.

It is a super-2 number, since 2×105012792² = 22055372967270528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105012797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64792 + ... + 66392.

It is an arithmetic number, because the mean of its divisors is an integer number (5935410).

Almost surely, 2^105012792 is an apocalyptic number.

105012792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105012792 is an abundant number, since it is smaller than the sum of its proper divisors (179886888).

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

105012792 is a wasteful number, since it uses less digits than its factorization.

105012792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 105012792 is about 10247.5749326365. The cubic root of 105012792 is about 471.7885555843.

The spelling of 105012792 in words is "one hundred five million, twelve thousand, seven hundred ninety-two".