106568928 has 72 divisors (see below), whose sum is σ = 309542688. Its totient is φ = 34762752.

The previous prime is 106568873. The next prime is 106568951. The reversal of 106568928 is 829865601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106568928² = 22713872830138368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9600 + ... + 17472.

It is an arithmetic number, because the mean of its divisors is an integer number (4299204).

Almost surely, 2^106568928 is an apocalyptic number.

106568928 is a gapful number since it is divisible by the number (18) 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 106568928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

106568928 is an abundant number, since it is smaller than the sum of its proper divisors (202973760).

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

106568928 is a wasteful number, since it uses less digits than its factorization.

106568928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7936 (or 7925 counting only the distinct ones).

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

The square root of 106568928 is about 10323.2227526098. Note that the first 3 decimals coincide. The cubic root of 106568928 is about 474.1075438296.

The spelling of 106568928 in words is "one hundred six million, five hundred sixty-eight thousand, nine hundred twenty-eight".