100681157983008 has 192 divisors, whose sum is σ = 281178528688512. Its totient is φ = 31434665164800.

The previous prime is 100681157982973. The next prime is 100681157983037. The reversal of 100681157983008 is 800389751186001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757783783 + ... + 757916633.

It is an arithmetic number, because the mean of its divisors is an integer number (1464471503586).

Almost surely, 2^{100681157983008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100681157983008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140589264344256).

100681157983008 is an abundant number, since it is smaller than the sum of its proper divisors (180497370705504).

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

100681157983008 is a wasteful number, since it uses less digits than its factorization.

100681157983008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135107 (or 135099 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 100681157983008 in words is "one hundred trillion, six hundred eighty-one billion, one hundred fifty-seven million, nine hundred eighty-three thousand, eight".