100105880160 has 384 divisors, whose sum is σ = 375171471360. Its totient is φ = 22116556800.

The previous prime is 100105880137. The next prime is 100105880201. The reversal of 100105880160 is 61088501001.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5413330 + ... + 5431790.

It is an arithmetic number, because the mean of its divisors is an integer number (977009040).

Almost surely, 2^100105880160 is an apocalyptic number.

100105880160 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 100105880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187585735680).

100105880160 is an abundant number, since it is smaller than the sum of its proper divisors (275065591200).

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

100105880160 is a wasteful number, since it uses less digits than its factorization.

100105880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18582 (or 18574 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The spelling of 100105880160 in words is "one hundred billion, one hundred five million, eight hundred eighty thousand, one hundred sixty".