100957389120 has 840 divisors, whose sum is σ = 432318581640. Its totient is φ = 22272122880.

The previous prime is 100957389119. The next prime is 100957389139. The reversal of 100957389120 is 21983759001.

It can be written as a sum of positive squares in 4 ways, for example, as 5194373184 + 95763015936 = 72072^2 + 309456^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 36830950 + ... + 36833690.

Almost surely, 2^100957389120 is an apocalyptic number.

100957389120 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 100957389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216159290820).

100957389120 is an abundant number, since it is smaller than the sum of its proper divisors (331361192520).

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

100957389120 is a wasteful number, since it uses less digits than its factorization.

100957389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 100957389120 in words is "one hundred billion, nine hundred fifty-seven million, three hundred eighty-nine thousand, one hundred twenty".