107342760 has 128 divisors (see below), whose sum is σ = 389733120. Its totient is φ = 23089152.

The previous prime is 107342759. The next prime is 107342831. The reversal of 107342760 is 67243701.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10522 + ... + 18038.

It is an arithmetic number, because the mean of its divisors is an integer number (3044790).

Almost surely, 2^107342760 is an apocalyptic number.

107342760 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 107342760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194866560).

107342760 is an abundant number, since it is smaller than the sum of its proper divisors (282390360).

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

107342760 is a wasteful number, since it uses less digits than its factorization.

107342760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 107342760 is about 10360.6351156674. The cubic root of 107342760 is about 475.2523276163.

The spelling of 107342760 in words is "one hundred seven million, three hundred forty-two thousand, seven hundred sixty".