108661200 has 240 divisors, whose sum is σ = 377880576. Its totient is φ = 26611200.

The previous prime is 108661199. The next prime is 108661211. The reversal of 108661200 is 2166801.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855537 + ... + 855663.

Almost surely, 2^108661200 is an apocalyptic number.

108661200 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 108661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188940288).

108661200 is an abundant number, since it is smaller than the sum of its proper divisors (269219376).

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

108661200 is a wasteful number, since it uses less digits than its factorization.

108661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 108661200 is about 10424.0683036903. The cubic root of 108661200 is about 477.1901812303.

The spelling of 108661200 in words is "one hundred eight million, six hundred sixty-one thousand, two hundred".