106875200 has 42 divisors (see below), whose sum is σ = 262983726. Its totient is φ = 42749440.

The previous prime is 106875193. The next prime is 106875211. The reversal of 106875200 is 2578601.

It can be written as a sum of positive squares in 3 ways, for example, as 1032256 + 105842944 = 1016^2 + 10288^2 .

It is a super-2 number, since 2×106875200² = 22844616750080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31799 + ... + 34998.

Almost surely, 2^106875200 is an apocalyptic number.

106875200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106875200 is an abundant number, since it is smaller than the sum of its proper divisors (156108526).

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

106875200 is an equidigital number, since it uses as much as digits as its factorization.

106875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66819 (or 66804 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 106875200 is about 10338.0462370798. The cubic root of 106875200 is about 474.5612939237.

The spelling of 106875200 in words is "one hundred six million, eight hundred seventy-five thousand, two hundred".