105791896 has 32 divisors (see below), whose sum is σ = 227566080. Its totient is φ = 45165600.

The previous prime is 105791857. The next prime is 105791899. The reversal of 105791896 is 698197501.

It is a happy number.

It is a super-2 number, since 2×105791896² = 22383850518549632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105791899) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11691 + ... + 18661.

It is an arithmetic number, because the mean of its divisors is an integer number (7111440).

Almost surely, 2^105791896 is an apocalyptic number.

It is an amenable number.

105791896 is an abundant number, since it is smaller than the sum of its proper divisors (121774184).

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

105791896 is a wasteful number, since it uses less digits than its factorization.

105791896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The square root of 105791896 is about 10285.5187521097. The cubic root of 105791896 is about 472.9524361912.

It can be divided in two parts, 10 and 5791896, that added together give a triangular number (5791906 = T₃₄₀₃).

The spelling of 105791896 in words is "one hundred five million, seven hundred ninety-one thousand, eight hundred ninety-six".