105791796 has 72 divisors (see below), whose sum is σ = 292865664. Its totient is φ = 31933440.

The previous prime is 105791759. The next prime is 105791837. The reversal of 105791796 is 697197501.

105791796 is a `hidden beast` number, since 1 + 0 + 579 + 1 + 79 + 6 = 666.

It is a super-2 number, since 2×105791796² = 22383808201811232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183060 + ... + 183636.

Almost surely, 2^105791796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105791796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146432832).

105791796 is an abundant number, since it is smaller than the sum of its proper divisors (187073868).

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

105791796 is a wasteful number, since it uses less digits than its factorization.

105791796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 105791796 is about 10285.5138909050. The cubic root of 105791796 is about 472.9522871714.

The spelling of 105791796 in words is "one hundred five million, seven hundred ninety-one thousand, seven hundred ninety-six".