106900 has 18 divisors (see below), whose sum is σ = 232190. Its totient is φ = 42720.

The previous prime is 106877. The next prime is 106903. The reversal of 106900 is 9601.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 101124 = 76^2 + 318^2 .

It is a super-2 number, since 2×106900² = 22855220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106903) by changing a digit.

106900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 435 + ... + 634.

2¹⁰⁶⁹⁰⁰ is an apocalyptic number.

106900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106900 is an abundant number, since it is smaller than the sum of its proper divisors (125290).

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

106900 is a wasteful number, since it uses less digits than its factorization.

106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1076 counting only the distinct ones).

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

The square root of 106900 is about 326.9556544854. The cubic root of 106900 is about 47.4597997823.

The spelling of 106900 in words is "one hundred six thousand, nine hundred".