100396800 has 432 divisors, whose sum is σ = 425806080. Its totient is φ = 22671360.

The previous prime is 100396763. The next prime is 100396801. The reversal of 100396800 is 8693001.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100396801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209559 + ... + 1209641.

Almost surely, 2^100396800 is an apocalyptic number.

100396800 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 100396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903040).

100396800 is an abundant number, since it is smaller than the sum of its proper divisors (325409280).

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

100396800 is an equidigital number, since it uses as much as digits as its factorization.

100396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100396800 is about 10019.8203576711. The cubic root of 100396800 is about 464.7720006083.

It can be divided in two parts, 100 and 396800, that added together give a square (396900 = 630²).

The spelling of 100396800 in words is "one hundred million, three hundred ninety-six thousand, eight hundred".