106388600 has 48 divisors (see below), whose sum is σ = 260381400. Its totient is φ = 40314240.

The previous prime is 106388587. The next prime is 106388627. The reversal of 106388600 is 6883601.

It is a super-2 number, since 2×106388600² = 22637068419920000, 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, 10199 + ... + 17798.

Almost surely, 2^106388600 is an apocalyptic number.

106388600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106388600 is an abundant number, since it is smaller than the sum of its proper divisors (153992800).

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

106388600 is a wasteful number, since it uses less digits than its factorization.

106388600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28032 (or 28023 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 106388600 is about 10314.4849604815. The cubic root of 106388600 is about 473.8399763662.

The spelling of 106388600 in words is "one hundred six million, three hundred eighty-eight thousand, six hundred".