106170900 has 72 divisors (see below), whose sum is σ = 335124384. Its totient is φ = 25737600.

The previous prime is 106170847. The next prime is 106170907. The reversal of 106170900 is 9071601.

It is a super-2 number, since 2×106170900² = 22544520013620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106170907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12787 + ... + 19386.

Almost surely, 2^106170900 is an apocalyptic number.

106170900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106170900 is an abundant number, since it is smaller than the sum of its proper divisors (228953484).

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

106170900 is a wasteful number, since it uses less digits than its factorization.

106170900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32201 (or 32194 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 106170900 is about 10303.9264360728. The cubic root of 106170900 is about 473.5165538567.

The spelling of 106170900 in words is "one hundred six million, one hundred seventy thousand, nine hundred".