106388568 has 96 divisors (see below), whose sum is σ = 338541840. Its totient is φ = 29756160.

The previous prime is 106388551. The next prime is 106388587. The reversal of 106388568 is 865883601.

106388568 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 88 + 568 = 666.

It is a super-2 number, since 2×106388568² = 22637054802181248, 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 23 ways as a sum of consecutive naturals, for example, 5130 + ... + 15462.

Almost surely, 2^106388568 is an apocalyptic number.

106388568 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 106388568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169270920).

106388568 is an abundant number, since it is smaller than the sum of its proper divisors (232153272).

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

106388568 is a wasteful number, since it uses less digits than its factorization.

106388568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 106388568 is about 10314.4834092649. The cubic root of 106388568 is about 473.8399288583.

The spelling of 106388568 in words is "one hundred six million, three hundred eighty-eight thousand, five hundred sixty-eight".