108961200 has 360 divisors, whose sum is σ = 419764800. Its totient is φ = 27060480.

The previous prime is 108961157. The next prime is 108961201. The reversal of 108961200 is 2169801.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (108961201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1846771 + ... + 1846829.

Almost surely, 2^108961200 is an apocalyptic number.

108961200 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 108961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209882400).

108961200 is an abundant number, since it is smaller than the sum of its proper divisors (310803600).

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

108961200 is a wasteful number, since it uses less digits than its factorization.

108961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 108961200 is about 10438.4481605265. The cubic root of 108961200 is about 477.6289318601.

The spelling of 108961200 in words is "one hundred eight million, nine hundred sixty-one thousand, two hundred".