107079960 has 128 divisors (see below), whose sum is σ = 350542080. Its totient is φ = 26009088.

The previous prime is 107079937. The next prime is 107079979. The reversal of 107079960 is 69970701.

It is a super-2 number, since 2×107079960² = 22932235667203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129067 + ... + 129893.

It is an arithmetic number, because the mean of its divisors is an integer number (2738610).

Almost surely, 2^107079960 is an apocalyptic number.

107079960 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 107079960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271040).

107079960 is an abundant number, since it is smaller than the sum of its proper divisors (243462120).

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

107079960 is a wasteful number, since it uses less digits than its factorization.

107079960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 107079960 is about 10347.9447234705. The cubic root of 107079960 is about 474.8641679938.

The spelling of 107079960 in words is "one hundred seven million, seventy-nine thousand, nine hundred sixty".