107514 has 32 divisors (see below), whose sum is σ = 262080. Its totient is φ = 32400.

The previous prime is 107509. The next prime is 107563. The reversal of 107514 is 415701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107514.

It is an unprimeable number.

107514 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2¹⁰⁷⁵¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

107514 is an abundant number, since it is smaller than the sum of its proper divisors (154566).

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

107514 is a wasteful number, since it uses less digits than its factorization.

107514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107514 is about 327.8932753199. The cubic root of 107514 is about 47.5504910935.

It can be divided in two parts, 1075 and 14, that added together give a square (1089 = 33²).

The spelling of 107514 in words is "one hundred seven thousand, five hundred fourteen".