100416290752 has 56 divisors (see below), whose sum is σ = 202022415360. Its totient is φ = 49514499840.

The previous prime is 100416290729. The next prime is 100416290773. The reversal of 100416290752 is 257092614001.

100416290752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4473477 + ... + 4495867.

Almost surely, 2^100416290752 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 100416290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101011207680).

100416290752 is an abundant number, since it is smaller than the sum of its proper divisors (101606124608).

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

100416290752 is an equidigital number, since it uses as much as digits as its factorization.

100416290752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23369 (or 23359 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 100416290752 in words is "one hundred billion, four hundred sixteen million, two hundred ninety thousand, seven hundred fifty-two".