105796108640 has 48 divisors (see below), whose sum is σ = 250613537328. Its totient is φ = 42204965376.

The previous prime is 105796108591. The next prime is 105796108661. The reversal of 105796108640 is 46801697501.

It is a super-2 number, since 2×105796108640² (a number of 23 digits) 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826682 + ... + 946041.

It is an arithmetic number, because the mean of its divisors is an integer number (5221115361).

Almost surely, 2^105796108640 is an apocalyptic number.

105796108640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105796108640 is an abundant number, since it is smaller than the sum of its proper divisors (144817428688).

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

105796108640 is a wasteful number, since it uses less digits than its factorization.

105796108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773111 (or 1773103 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 105796108640 in words is "one hundred five billion, seven hundred ninety-six million, one hundred eight thousand, six hundred forty".