100920180960 has 240 divisors, whose sum is σ = 368447032800. Its totient is φ = 25983949824.

The previous prime is 100920180947. The next prime is 100920180997. The reversal of 100920180960 is 69081029001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241581 + ... + 510099.

It is an arithmetic number, because the mean of its divisors is an integer number (1535195970).

Almost surely, 2^100920180960 is an apocalyptic number.

100920180960 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 100920180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184223516400).

100920180960 is an abundant number, since it is smaller than the sum of its proper divisors (267526851840).

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

100920180960 is a wasteful number, since it uses less digits than its factorization.

100920180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268575 (or 268558 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 100920180960 in words is "one hundred billion, nine hundred twenty million, one hundred eighty thousand, nine hundred sixty".