103996800 has 288 divisors, whose sum is σ = 389684880. Its totient is φ = 26357760.

The previous prime is 103996799. The next prime is 103996807. The reversal of 103996800 is 8699301.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103996807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662322 + ... + 662478.

Almost surely, 2^103996800 is an apocalyptic number.

103996800 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 103996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194842440).

103996800 is an abundant number, since it is smaller than the sum of its proper divisors (285688080).

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

103996800 is a wasteful number, since it uses less digits than its factorization.

103996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 103996800 is about 10197.8821330706. The cubic root of 103996800 is about 470.2621142440.

The spelling of 103996800 in words is "one hundred three million, nine hundred ninety-six thousand, eight hundred".