105807199585360 has 80 divisors (see below), whose sum is σ = 302771371142016. Its totient is φ = 33486234591744.

The previous prime is 105807199585337. The next prime is 105807199585411. The reversal of 105807199585360 is 63585991708501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105807199585360² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 7266970714 + ... + 7266985273.

Almost surely, 2^{105807199585360} is an apocalyptic number.

105807199585360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105807199585360 is an abundant number, since it is smaller than the sum of its proper divisors (196964171556656).

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

105807199585360 is a wasteful number, since it uses less digits than its factorization.

105807199585360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14533956020 (or 14533956014 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 67.

The spelling of 105807199585360 in words is "one hundred five trillion, eight hundred seven billion, one hundred ninety-nine million, five hundred eighty-five thousand, three hundred sixty".