107970768 has 180 divisors, whose sum is σ = 334109568. Its totient is φ = 32503680.

The previous prime is 107970743. The next prime is 107970781. The reversal of 107970768 is 867079701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1611471 + ... + 1611537.

Almost surely, 2^107970768 is an apocalyptic number.

107970768 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 107970768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167054784).

107970768 is an abundant number, since it is smaller than the sum of its proper divisors (226138800).

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

107970768 is a wasteful number, since it uses less digits than its factorization.

107970768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 107970768 is about 10390.8983249765. The cubic root of 107970768 is about 476.1773460583.

The spelling of 107970768 in words is "one hundred seven million, nine hundred seventy thousand, seven hundred sixty-eight".