106708992 has 120 divisors (see below), whose sum is σ = 308271936. Its totient is φ = 32636928.

The previous prime is 106708967. The next prime is 106709011. The reversal of 106708992 is 299807601.

It is a super-2 number, since 2×106708992² = 22773617947312128, which contains 22 as substring.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 638893 + ... + 639059.

Almost surely, 2^106708992 is an apocalyptic number.

106708992 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 106708992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154135968).

106708992 is an abundant number, since it is smaller than the sum of its proper divisors (201562944).

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

106708992 is an equidigital number, since it uses as much as digits as its factorization.

106708992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 106708992 is about 10330.0044530484. The cubic root of 106708992 is about 474.3151600932.

The spelling of 106708992 in words is "one hundred six million, seven hundred eight thousand, nine hundred ninety-two".