100377039672 has 320 divisors, whose sum is σ = 364245235200. Its totient is φ = 25079466240.

The previous prime is 100377039619. The next prime is 100377039683. The reversal of 100377039672 is 276930773001.

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 79 ways as a sum of consecutive naturals, for example, 1075597 + ... + 1165187.

It is an arithmetic number, because the mean of its divisors is an integer number (1138266360).

Almost surely, 2^100377039672 is an apocalyptic number.

100377039672 is a gapful number since it is divisible by the number (12) 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 100377039672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182122617600).

100377039672 is an abundant number, since it is smaller than the sum of its proper divisors (263868195528).

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

100377039672 is a wasteful number, since it uses less digits than its factorization.

100377039672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89648 (or 89635 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 100377039672 in words is "one hundred billion, three hundred seventy-seven million, thirty-nine thousand, six hundred seventy-two".