107513340 has 144 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 25520000.

The previous prime is 107513323. The next prime is 107513347. The reversal of 107513340 is 43315701.

It is a self number, because there is not a number n which added to its sum of digits gives 107513340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107513347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428215 + ... + 428465.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^107513340 is an apocalyptic number.

107513340 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 107513340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

107513340 is an abundant number, since it is smaller than the sum of its proper divisors (230327940).

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

107513340 is a wasteful number, since it uses less digits than its factorization.

107513340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 107513340 is about 10368.8639686322. The cubic root of 107513340 is about 475.5039379330.

The spelling of 107513340 in words is "one hundred seven million, five hundred thirteen thousand, three hundred forty".