107517340 has 48 divisors (see below), whose sum is σ = 260971200. Its totient is φ = 36444672.

The previous prime is 107517313. The next prime is 107517349. The reversal of 107517340 is 43715701.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 107517299 and 107517308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107517349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8146 + ... + 16774.

It is an arithmetic number, because the mean of its divisors is an integer number (5436900).

Almost surely, 2^107517340 is an apocalyptic number.

107517340 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 107517340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130485600).

107517340 is an abundant number, since it is smaller than the sum of its proper divisors (153453860).

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

107517340 is a wasteful number, since it uses less digits than its factorization.

107517340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 107517340 is about 10369.0568519996. The cubic root of 107517340 is about 475.5098348513.

The spelling of 107517340 in words is "one hundred seven million, five hundred seventeen thousand, three hundred forty".