108133200 has 270 divisors, whose sum is σ = 437230014. Its totient is φ = 24675840.

The previous prime is 108133183. The next prime is 108133231. The reversal of 108133200 is 2331801.

It can be written as a sum of positive squares in 3 ways, for example, as 1382976 + 106750224 = 1176^2 + 10332^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176094 + ... + 176706.

Almost surely, 2^108133200 is an apocalyptic number.

108133200 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 108133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218615007).

108133200 is an abundant number, since it is smaller than the sum of its proper divisors (329096814).

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

108133200 is a wasteful number, since it uses less digits than its factorization.

108133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 108133200 is about 10398.7114586376. The cubic root of 108133200 is about 476.4160146215.

108133200 divided by its product of nonzero digits (144) gives a triangular number (750925 = T₁₂₂₅).

The spelling of 108133200 in words is "one hundred eight million, one hundred thirty-three thousand, two hundred".