105792896 has 64 divisors (see below), whose sum is σ = 231629760. Its totient is φ = 47731200.

The previous prime is 105792881. The next prime is 105792913. The reversal of 105792896 is 698297501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105792896² = 22384273688133632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105792896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319451 + ... + 319781.

It is an arithmetic number, because the mean of its divisors is an integer number (3619215).

Almost surely, 2^105792896 is an apocalyptic number.

105792896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115814880).

105792896 is an abundant number, since it is smaller than the sum of its proper divisors (125836864).

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

105792896 is a wasteful number, since it uses less digits than its factorization.

105792896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 105792896 is about 10285.5673640300. The cubic root of 105792896 is about 472.9539263840.

The spelling of 105792896 in words is "one hundred five million, seven hundred ninety-two thousand, eight hundred ninety-six".