100399600 has 120 divisors (see below), whose sum is σ = 287838720. Its totient is φ = 32904960.

The previous prime is 100399589. The next prime is 100399613. The reversal of 100399600 is 6993001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63621 + ... + 65179.

It is an arithmetic number, because the mean of its divisors is an integer number (2398656).

Almost surely, 2^100399600 is an apocalyptic number.

100399600 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 100399600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

100399600 is an abundant number, since it is smaller than the sum of its proper divisors (187439120).

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

100399600 is a wasteful number, since it uses less digits than its factorization.

100399600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 100399600 is about 10019.9600797608. The cubic root of 100399600 is about 464.7763212954.

The spelling of 100399600 in words is "one hundred million, three hundred ninety-nine thousand, six hundred".