106158168 has 64 divisors (see below), whose sum is σ = 310416000. Its totient is φ = 33522336.

The previous prime is 106158161. The next prime is 106158181. The reversal of 106158168 is 861851601.

106158168 is a `hidden beast` number, since 10 + 6 + 1 + 581 + 68 = 666.

It is a super-2 number, since 2×106158168² = 22539113266232448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106158161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8830 + ... + 17037.

It is an arithmetic number, because the mean of its divisors is an integer number (4850250).

Almost surely, 2^106158168 is an apocalyptic number.

106158168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106158168 is an abundant number, since it is smaller than the sum of its proper divisors (204257832).

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

106158168 is a wasteful number, since it uses less digits than its factorization.

106158168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25901 (or 25891 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 106158168 is about 10303.3085948156. The cubic root of 106158168 is about 473.4976250863.

The spelling of 106158168 in words is "one hundred six million, one hundred fifty-eight thousand, one hundred sixty-eight".