105507207713640 has 64 divisors (see below), whose sum is σ = 318351227961600. Its totient is φ = 27972623850752.

The previous prime is 105507207713627. The next prime is 105507207713707. The reversal of 105507207713640 is 46317702705501.

It is a super-2 number, since 2×105507207713640² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105507207713640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541096960 + ... + 2541138479.

It is an arithmetic number, because the mean of its divisors is an integer number (4974237936900).

Almost surely, 2^{105507207713640} is an apocalyptic number.

105507207713640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105507207713640 is an abundant number, since it is smaller than the sum of its proper divisors (212844020247960).

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

105507207713640 is a wasteful number, since it uses less digits than its factorization.

105507207713640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082235626 (or 5082235622 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 105507207713640 in words is "one hundred five trillion, five hundred seven billion, two hundred seven million, seven hundred thirteen thousand, six hundred forty".