107868960 has 144 divisors (see below), whose sum is σ = 371085624. Its totient is φ = 28532736.

The previous prime is 107868911. The next prime is 107868967. The reversal of 107868960 is 69868701.

107868960 = T₁ + T₂ + ... + T₈₆₄.

It is a happy number.

107868960 is a nontrivial binomial coefficient, being equal to C(866, 3).

It can be written as a sum of positive squares in 4 ways, for example, as 87834384 + 20034576 = 9372^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107868967) by changing a digit.

It is the 864-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248904 + ... + 249336.

Almost surely, 2^107868960 is an apocalyptic number.

107868960 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 107868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185542812).

107868960 is an abundant number, since it is smaller than the sum of its proper divisors (263216664).

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

107868960 is a wasteful number, since it uses less digits than its factorization.

107868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 107868960 is about 10385.9982668976. The cubic root of 107868960 is about 476.0276329791.

The spelling of 107868960 in words is "one hundred seven million, eight hundred sixty-eight thousand, nine hundred sixty".