100372882464 has 288 divisors, whose sum is σ = 306822297600. Its totient is φ = 31052736000.

The previous prime is 100372882391. The next prime is 100372882481. The reversal of 100372882464 is 464288273001.

It is a happy number.

100372882464 is a `hidden beast` number, since 100 + 3 + 7 + 2 + 8 + 82 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×100372882464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30872839 + ... + 30876089.

It is an arithmetic number, because the mean of its divisors is an integer number (1065355200).

Almost surely, 2^100372882464 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 100372882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153411148800).

100372882464 is an abundant number, since it is smaller than the sum of its proper divisors (206449415136).

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

100372882464 is a wasteful number, since it uses less digits than its factorization.

100372882464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 100372882464 in words is "one hundred billion, three hundred seventy-two million, eight hundred eighty-two thousand, four hundred sixty-four".