106688592 has 30 divisors (see below), whose sum is σ = 298580282. Its totient is φ = 35562816.

The previous prime is 106688567. The next prime is 106688653. The reversal of 106688592 is 295886601.

It can be written as a sum of positive squares in only one way, i.e., 78428736 + 28259856 = 8856^2 + 5316^2 .

It is a super-2 number, since 2×106688592² = 22764911325884928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 370303 + ... + 370590.

Almost surely, 2^106688592 is an apocalyptic number.

106688592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106688592 is an abundant number, since it is smaller than the sum of its proper divisors (191891690).

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

106688592 is a wasteful number, since it uses less digits than its factorization.

106688592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740907 (or 740898 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 106688592 is about 10329.0169909822. The cubic root of 106688592 is about 474.2849325689.

The spelling of 106688592 in words is "one hundred six million, six hundred eighty-eight thousand, five hundred ninety-two".