108959400 has 144 divisors (see below), whose sum is σ = 399260160. Its totient is φ = 26409600.

The previous prime is 108959393. The next prime is 108959419. The reversal of 108959400 is 4959801.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17049 + ... + 22551.

It is an arithmetic number, because the mean of its divisors is an integer number (2772640).

Almost surely, 2^108959400 is an apocalyptic number.

108959400 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 108959400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199630080).

108959400 is an abundant number, since it is smaller than the sum of its proper divisors (290300760).

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

108959400 is a wasteful number, since it uses less digits than its factorization.

108959400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 108959400 is about 10438.3619404579. The cubic root of 108959400 is about 477.6263017593.

The spelling of 108959400 in words is "one hundred eight million, nine hundred fifty-nine thousand, four hundred".