100841974688 has 384 divisors, whose sum is σ = 281805350400. Its totient is φ = 34334834688.

The previous prime is 100841974687. The next prime is 100841974699. The reversal of 100841974688 is 886479148001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (100841974687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27274856 + ... + 27278552.

It is an arithmetic number, because the mean of its divisors is an integer number (733868100).

Almost surely, 2^100841974688 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 100841974688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140902675200).

100841974688 is an abundant number, since it is smaller than the sum of its proper divisors (180963375712).

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

100841974688 is a wasteful number, since it uses less digits than its factorization.

100841974688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 56.

The spelling of 100841974688 in words is "one hundred billion, eight hundred forty-one million, nine hundred seventy-four thousand, six hundred eighty-eight".