105557892 has 48 divisors (see below), whose sum is σ = 275967552. Its totient is φ = 31121280.

The previous prime is 105557849. The next prime is 105557923. The reversal of 105557892 is 298755501.

It is a super-2 number, since 2×105557892² = 22284937126967328, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5923 + ... + 15690.

It is an arithmetic number, because the mean of its divisors is an integer number (5749324).

Almost surely, 2^105557892 is an apocalyptic number.

105557892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105557892 is an abundant number, since it is smaller than the sum of its proper divisors (170409660).

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

105557892 is a wasteful number, since it uses less digits than its factorization.

105557892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21668 (or 21666 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The square root of 105557892 is about 10274.1370440539. The cubic root of 105557892 is about 472.6034666056.

The spelling of 105557892 in words is "one hundred five million, five hundred fifty-seven thousand, eight hundred ninety-two".