106445568 has 144 divisors (see below), whose sum is σ = 310818816. Its totient is φ = 32194560.

The previous prime is 106445567. The next prime is 106445579. The reversal of 106445568 is 865544601.

It is a happy number.

It is a super-2 number, since 2×106445568² = 22661317893685248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106445567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404605 + ... + 404867.

It is an arithmetic number, because the mean of its divisors is an integer number (2158464).

Almost surely, 2^106445568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155409408).

106445568 is an abundant number, since it is smaller than the sum of its proper divisors (204373248).

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

106445568 is a wasteful number, since it uses less digits than its factorization.

106445568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 106445568 is about 10317.2461441995. The cubic root of 106445568 is about 473.9245371151.

The spelling of 106445568 in words is "one hundred six million, four hundred forty-five thousand, five hundred sixty-eight".