100396360680 has 1024 divisors, whose sum is σ = 414056448000. Its totient is φ = 19248768000.

The previous prime is 100396360663. The next prime is 100396360693. The reversal of 100396360680 is 86063693001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 322817725 + ... + 322818035.

It is an arithmetic number, because the mean of its divisors is an integer number (404352000).

Almost surely, 2^100396360680 is an apocalyptic number.

100396360680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100396360680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207028224000).

100396360680 is an abundant number, since it is smaller than the sum of its proper divisors (313660087320).

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

100396360680 is a wasteful number, since it uses less digits than its factorization.

100396360680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 100396360680 in words is "one hundred billion, three hundred ninety-six million, three hundred sixty thousand, six hundred eighty".