106112900 has 18 divisors (see below), whose sum is σ = 230265210. Its totient is φ = 42445120.

The previous prime is 106112899. The next prime is 106112911. The reversal of 106112900 is 9211601.

It can be written as a sum of positive squares in 3 ways, for example, as 30492484 + 75620416 = 5522^2 + 8696^2 .

It is a super-2 number, since 2×106112900² = 22519895092820000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530465 + ... + 530664.

Almost surely, 2^106112900 is an apocalyptic number.

106112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106112900 is an abundant number, since it is smaller than the sum of its proper divisors (124152310).

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

106112900 is a wasteful number, since it uses less digits than its factorization.

106112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061143 (or 1061136 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 106112900 is about 10301.1115905032. Note that the first 3 decimals coincide. The cubic root of 106112900 is about 473.4303125146.

The spelling of 106112900 in words is "one hundred six million, one hundred twelve thousand, nine hundred".