107314272 has 72 divisors (see below), whose sum is σ = 328661424. Its totient is φ = 33018624.

The previous prime is 107314271. The next prime is 107314279. The reversal of 107314272 is 272413701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107314271) 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 11 ways as a sum of consecutive naturals, for example, 10588 + ... + 18075.

It is an arithmetic number, because the mean of its divisors is an integer number (4564742).

Almost surely, 2^107314272 is an apocalyptic number.

107314272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107314272 is an abundant number, since it is smaller than the sum of its proper divisors (221347152).

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

107314272 is a wasteful number, since it uses less digits than its factorization.

107314272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28692 (or 28681 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107314272 is about 10359.2602052463. The cubic root of 107314272 is about 475.2102810414.

Adding to 107314272 its reverse (272413701), we get a palindrome (379727973).

The spelling of 107314272 in words is "one hundred seven million, three hundred fourteen thousand, two hundred seventy-two".