100452400 has 60 divisors (see below), whose sum is σ = 249152704. Its totient is φ = 38880000.

The previous prime is 100452389. The next prime is 100452403. The reversal of 100452400 is 4254001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100452403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8350 + ... + 16450.

Almost surely, 2^100452400 is an apocalyptic number.

100452400 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 100452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124576352).

100452400 is an abundant number, since it is smaller than the sum of its proper divisors (148700304).

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

100452400 is a wasteful number, since it uses less digits than its factorization.

100452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 100452400 is about 10022.5944744861. The cubic root of 100452400 is about 464.8577820753.

The spelling of 100452400 in words is "one hundred million, four hundred fifty-two thousand, four hundred".