106132800 has 84 divisors (see below), whose sum is σ = 348219776. Its totient is φ = 28300800.

The previous prime is 106132781. The next prime is 106132883. The reversal of 106132800 is 8231601.

It is a super-2 number, since 2×106132800² = 22528342471680000, 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 11 ways as a sum of consecutive naturals, for example, 6256 + ... + 15855.

Almost surely, 2^106132800 is an apocalyptic number.

106132800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106132800 is an abundant number, since it is smaller than the sum of its proper divisors (242086976).

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

106132800 is a wasteful number, since it uses less digits than its factorization.

106132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22136 (or 22121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106132800 is about 10302.0774603960. The cubic root of 106132800 is about 473.4599057570.

The spelling of 106132800 in words is "one hundred six million, one hundred thirty-two thousand, eight hundred".