106692 has 24 divisors (see below), whose sum is σ = 264096. Its totient is φ = 33408.

The previous prime is 106681. The next prime is 106693. The reversal of 106692 is 296601.

It is a super-2 number, since 2×106692² = 22766365728, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106692.

It is not an unprimeable number, because it can be changed into a prime (106693) by changing a digit.

106692 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (11004).

2¹⁰⁶⁶⁹² is an apocalyptic number.

106692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106692 is an abundant number, since it is smaller than the sum of its proper divisors (157404).

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

106692 is a wasteful number, since it uses less digits than its factorization.

106692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106692 is about 326.6374136562. The cubic root of 106692 is about 47.4289982612.

The spelling of 106692 in words is "one hundred six thousand, six hundred ninety-two".