100831980525900 has 288 divisors, whose sum is σ = 328896447280128. Its totient is φ = 23664697267200.

The previous prime is 100831980525893. The next prime is 100831980526021. The reversal of 100831980525900 is 9525089138001.

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 95 ways as a sum of consecutive naturals, for example, 26089462 + ... + 29703938.

It is an arithmetic number, because the mean of its divisors is an integer number (1142001553056).

Almost surely, 2^{100831980525900} is an apocalyptic number.

100831980525900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100831980525900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164448223640064).

100831980525900 is an abundant number, since it is smaller than the sum of its proper divisors (228064466754228).

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

100831980525900 is a wasteful number, since it uses less digits than its factorization.

100831980525900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614841 (or 3614834 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 100831980525900 in words is "one hundred trillion, eight hundred thirty-one billion, nine hundred eighty million, five hundred twenty-five thousand, nine hundred".