100376400 has 120 divisors (see below), whose sum is σ = 323818560. Its totient is φ = 26577920.

The previous prime is 100376399. The next prime is 100376417. The reversal of 100376400 is 4673001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 279421 + ... + 279779.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^100376400 is an apocalyptic number.

100376400 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 100376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909280).

100376400 is an abundant number, since it is smaller than the sum of its proper divisors (223442160).

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

100376400 is a wasteful number, since it uses less digits than its factorization.

100376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 100376400 is about 10018.8023236313. The cubic root of 100376400 is about 464.7405188908.

The spelling of 100376400 in words is "one hundred million, three hundred seventy-six thousand, four hundred".