107598960 has 240 divisors, whose sum is σ = 424871616. Its totient is φ = 23887872.

The previous prime is 107598917. The next prime is 107598973. The reversal of 107598960 is 69895701.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186192 + ... + 186768.

Almost surely, 2^107598960 is an apocalyptic number.

107598960 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 107598960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212435808).

107598960 is an abundant number, since it is smaller than the sum of its proper divisors (317272656).

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

107598960 is a wasteful number, since it uses less digits than its factorization.

107598960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 107598960 is about 10372.9918538481. The cubic root of 107598960 is about 475.6301295434.

The spelling of 107598960 in words is "one hundred seven million, five hundred ninety-eight thousand, nine hundred sixty".