106010568 has 48 divisors (see below), whose sum is σ = 293230080. Its totient is φ = 34583904.

The previous prime is 106010561. The next prime is 106010579. The reversal of 106010568 is 865010601.

106010568 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 56 + 8 = 666.

It is a super-2 number, since 2×106010568² = 22476481055365248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010561) 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 11 ways as a sum of consecutive naturals, for example, 12280 + ... + 19047.

It is an arithmetic number, because the mean of its divisors is an integer number (6108960).

Almost surely, 2^106010568 is an apocalyptic number.

106010568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106010568 is an abundant number, since it is smaller than the sum of its proper divisors (187219512).

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

106010568 is a wasteful number, since it uses less digits than its factorization.

106010568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31386 (or 31379 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106010568 is about 10296.1433556454. The cubic root of 106010568 is about 473.2780763814.

It can be divided in two parts, 1060 and 10568, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 106010568 in words is "one hundred six million, ten thousand, five hundred sixty-eight".