100756130831752 has 32 divisors (see below), whose sum is σ = 206093135923200. Its totient is φ = 45798007924800.

The previous prime is 100756130831729. The next prime is 100756130831803. The reversal of 100756130831752 is 257138031657001.

It is a junction number, because it is equal to n+sod(n) for n = 100756130831696 and 100756130831705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15078649 + ... + 20709367.

It is an arithmetic number, because the mean of its divisors is an integer number (6440410497600).

Almost surely, 2^{100756130831752} is an apocalyptic number.

It is an amenable number.

100756130831752 is an abundant number, since it is smaller than the sum of its proper divisors (105337005091448).

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

100756130831752 is a wasteful number, since it uses less digits than its factorization.

100756130831752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834077 (or 5834073 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 100756130831752 in words is "one hundred trillion, seven hundred fifty-six billion, one hundred thirty million, eight hundred thirty-one thousand, seven hundred fifty-two".