108644400 has 180 divisors, whose sum is σ = 381985968. Its totient is φ = 28592640.

The previous prime is 108644369. The next prime is 108644407. The reversal of 108644400 is 4446801.

108644400 is a `hidden beast` number, since 10 + 8 + 644 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (108644407) 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, 370654 + ... + 370946.

Almost surely, 2^108644400 is an apocalyptic number.

108644400 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 108644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190992984).

108644400 is an abundant number, since it is smaller than the sum of its proper divisors (273341568).

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

108644400 is a wasteful number, since it uses less digits than its factorization.

108644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 108644400 is about 10423.2624451272. The cubic root of 108644400 is about 477.1655873297.

The spelling of 108644400 in words is "one hundred eight million, six hundred forty-four thousand, four hundred".