108788400 has 240 divisors, whose sum is σ = 442828800. Its totient is φ = 24848640.

The previous prime is 108788387. The next prime is 108788411. The reversal of 108788400 is 4887801.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 74881 + ... + 76319.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 2^108788400 is an apocalyptic number.

108788400 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 108788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400).

108788400 is an abundant number, since it is smaller than the sum of its proper divisors (334040400).

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

108788400 is a wasteful number, since it uses less digits than its factorization.

108788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 108788400 is about 10430.1677838854. The cubic root of 108788400 is about 477.3763099853.

The spelling of 108788400 in words is "one hundred eight million, seven hundred eighty-eight thousand, four hundred".