105825306740736 has 96 divisors (see below), whose sum is σ = 307780277968800. Its totient is φ = 32068274749440.

The previous prime is 105825306740617. The next prime is 105825306740761. The reversal of 105825306740736 is 637047603528501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105825306740736² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782849281 + ... + 782984448.

It is an arithmetic number, because the mean of its divisors is an integer number (3206044562175).

Almost surely, 2^{105825306740736} is an apocalyptic number.

105825306740736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105825306740736 is an abundant number, since it is smaller than the sum of its proper divisors (201954971228064).

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

105825306740736 is a wasteful number, since it uses less digits than its factorization.

105825306740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565833765 (or 1565833745 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 105825306740736 in words is "one hundred five trillion, eight hundred twenty-five billion, three hundred six million, seven hundred forty thousand, seven hundred thirty-six".