100123290576 has 120 divisors (see below), whose sum is σ = 296802342720. Its totient is φ = 31399216128.

The previous prime is 100123290563. The next prime is 100123290601. The reversal of 100123290576 is 675092321001.

It is a super-2 number, since 2×100123290576² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100123290576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8118751 + ... + 8131073.

It is an arithmetic number, because the mean of its divisors is an integer number (2473352856).

Almost surely, 2^100123290576 is an apocalyptic number.

100123290576 is a gapful number since it is divisible by the number (16) 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 100123290576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148401171360).

100123290576 is an abundant number, since it is smaller than the sum of its proper divisors (196679052144).

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

100123290576 is a wasteful number, since it uses less digits than its factorization.

100123290576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15664 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 100123290576 in words is "one hundred billion, one hundred twenty-three million, two hundred ninety thousand, five hundred seventy-six".