107145768 has 64 divisors (see below), whose sum is σ = 274536000. Its totient is φ = 34836480.

The previous prime is 107145761. The next prime is 107145791. The reversal of 107145768 is 867541701.

It is a super-2 number, since 2×107145768² = 22960431200619648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (107145761) 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, 238408 + ... + 238856.

It is an arithmetic number, because the mean of its divisors is an integer number (4289625).

Almost surely, 2^107145768 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 107145768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137268000).

107145768 is an abundant number, since it is smaller than the sum of its proper divisors (167390232).

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

107145768 is a wasteful number, since it uses less digits than its factorization.

107145768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 107145768 is about 10351.1239969387. The cubic root of 107145768 is about 474.9614269693.

The spelling of 107145768 in words is "one hundred seven million, one hundred forty-five thousand, seven hundred sixty-eight".