107352960 has 512 divisors, whose sum is σ = 444165120. Its totient is φ = 21626880.

The previous prime is 107352929. The next prime is 107352967. The reversal of 107352960 is 69253701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107352967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4667509 + ... + 4667531.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^107352960 is an apocalyptic number.

107352960 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 107352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

107352960 is an abundant number, since it is smaller than the sum of its proper divisors (336812160).

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

107352960 is a wasteful number, since it uses less digits than its factorization.

107352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 107352960 is about 10361.1273517895. The cubic root of 107352960 is about 475.2673803943.

It can be divided in two parts, 10735 and 2960, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 107352960 in words is "one hundred seven million, three hundred fifty-two thousand, nine hundred sixty".