100108800 has 360 divisors, whose sum is σ = 395778240. Its totient is φ = 23961600.

The previous prime is 100108763. The next prime is 100108807. The reversal of 100108800 is 8801001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100108807) 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, 1267161 + ... + 1267239.

It is an arithmetic number, because the mean of its divisors is an integer number (1099384).

Almost surely, 2^100108800 is an apocalyptic number.

100108800 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 100108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197889120).

100108800 is an abundant number, since it is smaller than the sum of its proper divisors (295669440).

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

100108800 is a wasteful number, since it uses less digits than its factorization.

100108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 100108800 is about 10005.4385211244. The cubic root of 100108800 is about 464.3271573037.

Adding to 100108800 its reverse (8801001), we get a palindrome (108909801).

It can be divided in two parts, 100 and 108800, that added together give a square (108900 = 330²).

The spelling of 100108800 in words is "one hundred million, one hundred eight thousand, eight hundred".