106000900 has 18 divisors (see below), whose sum is σ = 230022170. Its totient is φ = 42400320.

The previous prime is 106000889. The next prime is 106000903. The reversal of 106000900 is 9000601.

It can be written as a sum of positive squares in 3 ways, for example, as 2937796 + 103063104 = 1714^2 + 10152^2 .

It is a super-2 number, since 2×106000900² = 22472381601620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 529905 + ... + 530104.

Almost surely, 2^106000900 is an apocalyptic number.

106000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106000900 is an abundant number, since it is smaller than the sum of its proper divisors (124021270).

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

106000900 is a wasteful number, since it uses less digits than its factorization.

106000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060023 (or 1060016 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 106000900 is about 10295.6738487580. The cubic root of 106000900 is about 473.2636885343.

The spelling of 106000900 in words is "one hundred six million, nine hundred", and thus it is an aban number.