100376242560 has 384 divisors, whose sum is σ = 382697602560. Its totient is φ = 24039198720.

The previous prime is 100376242543. The next prime is 100376242583. The reversal of 100376242560 is 65242673001.

100376242560 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 7 + 624 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 5249337 + ... + 5268423.

It is an arithmetic number, because the mean of its divisors is an integer number (996608340).

Almost surely, 2^100376242560 is an apocalyptic number.

100376242560 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 100376242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191348801280).

100376242560 is an abundant number, since it is smaller than the sum of its proper divisors (282321360000).

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

100376242560 is a wasteful number, since it uses less digits than its factorization.

100376242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19206 (or 19191 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 100376242560 in words is "one hundred billion, three hundred seventy-six million, two hundred forty-two thousand, five hundred sixty".