106085568 has 56 divisors (see below), whose sum is σ = 292900608. Its totient is φ = 33822976.

The previous prime is 106085563. The next prime is 106085579. The reversal of 106085568 is 865580601.

It is a super-2 number, since 2×106085568² = 22508295475765248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106085561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7596 + ... + 16427.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2^106085568 is an apocalyptic number.

It is an amenable number.

106085568 is an abundant number, since it is smaller than the sum of its proper divisors (186815040).

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

106085568 is a wasteful number, since it uses less digits than its factorization.

106085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24061 (or 24051 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 106085568 is about 10299.7848521219. The cubic root of 106085568 is about 473.3896611315.

The spelling of 106085568 in words is "one hundred six million, eighty-five thousand, five hundred sixty-eight".