100163256600 has 768 divisors, whose sum is σ = 372640435200. Its totient is φ = 21998592000.

The previous prime is 100163256533. The next prime is 100163256617. The reversal of 100163256600 is 6652361001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268534014 + ... + 268534386.

It is an arithmetic number, because the mean of its divisors is an integer number (485208900).

Almost surely, 2^100163256600 is an apocalyptic number.

100163256600 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 100163256600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186320217600).

100163256600 is an abundant number, since it is smaller than the sum of its proper divisors (272477178600).

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

100163256600 is a wasteful number, since it uses less digits than its factorization.

100163256600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 100163256600 in words is "one hundred billion, one hundred sixty-three million, two hundred fifty-six thousand, six hundred".