100377298080 has 144 divisors (see below), whose sum is σ = 342906173064. Its totient is φ = 26738472960.

The previous prime is 100377298079. The next prime is 100377298117. The reversal of 100377298080 is 80892773001.

100377298080 is a `hidden beast` number, since 100 + 377 + 29 + 80 + 80 = 666.

100377298080 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73282821264 + 27094476816 = 270708^2 + 164604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1318002 + ... + 1392078.

Almost surely, 2^100377298080 is an apocalyptic number.

100377298080 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 100377298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171453086532).

100377298080 is an abundant number, since it is smaller than the sum of its proper divisors (242528874984).

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

100377298080 is a wasteful number, since it uses less digits than its factorization.

100377298080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75039 (or 75028 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 100377298080 in words is "one hundred billion, three hundred seventy-seven million, two hundred ninety-eight thousand, eighty".