100377950400 has 1512 divisors, whose sum is σ = 462663137664. Its totient is φ = 20437401600.

The previous prime is 100377950347. The next prime is 100377950443. The reversal of 100377950400 is 4059773001.

It is a happy number.

100377950400 is a `hidden beast` number, since 100 + 37 + 79 + 50 + 400 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 284356624 + ... + 284356976.

Almost surely, 2^100377950400 is an apocalyptic number.

100377950400 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 100377950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231331568832).

100377950400 is an abundant number, since it is smaller than the sum of its proper divisors (362285187264).

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

100377950400 is a wasteful number, since it uses less digits than its factorization.

100377950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 100377950400 in words is "one hundred billion, three hundred seventy-seven million, nine hundred fifty thousand, four hundred".