106202900 has 36 divisors (see below), whose sum is σ = 237901440. Its totient is φ = 41109600.

The previous prime is 106202881. The next prime is 106202953. The reversal of 106202900 is 9202601.

It is a super-2 number, since 2×106202900² = 22558111936820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14030 + ... + 20229.

Almost surely, 2^106202900 is an apocalyptic number.

106202900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106202900 is an abundant number, since it is smaller than the sum of its proper divisors (131698540).

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

106202900 is a wasteful number, since it uses less digits than its factorization.

106202900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34304 (or 34297 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106202900 is about 10305.4791252033. The cubic root of 106202900 is about 473.5641218427.

The spelling of 106202900 in words is "one hundred six million, two hundred two thousand, nine hundred".