107418960 has 300 divisors, whose sum is σ = 413075124. Its totient is φ = 25850880.

The previous prime is 107418943. The next prime is 107418991. The reversal of 107418960 is 69814701.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 56610576 = 7128^2 + 7524^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 784012 + ... + 784148.

Almost surely, 2^107418960 is an apocalyptic number.

107418960 is a gapful number since it is divisible by the number (10) 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 107418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206537562).

107418960 is an abundant number, since it is smaller than the sum of its proper divisors (305656164).

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

107418960 is a wasteful number, since it uses less digits than its factorization.

107418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107418960 is about 10364.3118440155. The cubic root of 107418960 is about 475.3647576847.

It can be divided in two parts, 10741 and 8960, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 107418960 in words is "one hundred seven million, four hundred eighteen thousand, nine hundred sixty".