100007682804 has 96 divisors (see below), whose sum is σ = 267927367680. Its totient is φ = 32226271200.

The previous prime is 100007682799. The next prime is 100007682847. The reversal of 100007682804 is 408286700001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3235527 + ... + 3266289.

It is an arithmetic number, because the mean of its divisors is an integer number (2790910080).

Almost surely, 2^100007682804 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 100007682804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133963683840).

100007682804 is an abundant number, since it is smaller than the sum of its proper divisors (167919684876).

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

100007682804 is a wasteful number, since it uses less digits than its factorization.

100007682804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31778 (or 31770 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 100007682804 in words is "one hundred billion, seven million, six hundred eighty-two thousand, eight hundred four".