100682324864 has 128 divisors (see below), whose sum is σ = 221987969280. Its totient is φ = 45104578560.

The previous prime is 100682324837. The next prime is 100682324887. The reversal of 100682324864 is 468423286001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35918087 + ... + 35920889.

It is an arithmetic number, because the mean of its divisors is an integer number (1734281010).

Almost surely, 2^100682324864 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 100682324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110993984640).

100682324864 is an abundant number, since it is smaller than the sum of its proper divisors (121305644416).

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

100682324864 is a wasteful number, since it uses less digits than its factorization.

100682324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 100682324864 in words is "one hundred billion, six hundred eighty-two million, three hundred twenty-four thousand, eight hundred sixty-four".