106692100 has 36 divisors (see below), whose sum is σ = 232016400. Its totient is φ = 42585760.

The previous prime is 106692071. The next prime is 106692109. The reversal of 106692100 is 1296601.

It is a super-2 number, since 2×106692100² = 22766408404820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (106692109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65091 + ... + 66709.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^106692100 is an apocalyptic number.

106692100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106692100 is an abundant number, since it is smaller than the sum of its proper divisors (125324300).

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

106692100 is a wasteful number, since it uses less digits than its factorization.

106692100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 106692100 is about 10329.1868024545. The cubic root of 106692100 is about 474.2901307920.

It can be divided in two parts, 10669 and 2100, that added together give a square (12769 = 113²).

The spelling of 106692100 in words is "one hundred six million, six hundred ninety-two thousand, one hundred".