106666992 has 60 divisors (see below), whose sum is σ = 302752944. Its totient is φ = 35051520.

The previous prime is 106666991. The next prime is 106667039. The reversal of 106666992 is 299666601.

It is a super-2 number, since 2×106666992² = 22755694364656128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106666991) 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, 5008 + ... + 15440.

Almost surely, 2^106666992 is an apocalyptic number.

106666992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106666992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151376472).

106666992 is an abundant number, since it is smaller than the sum of its proper divisors (196085952).

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

106666992 is a wasteful number, since it uses less digits than its factorization.

106666992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10518 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 106666992 is about 10327.9713400067. The cubic root of 106666992 is about 474.2529227548.

The spelling of 106666992 in words is "one hundred six million, six hundred sixty-six thousand, nine hundred ninety-two".