107865472 has 128 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 44083200.

The previous prime is 107865361. The next prime is 107865479. The reversal of 107865472 is 274568701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107865479) 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, 1299543 + ... + 1299625.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^107865472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

107865472 is an abundant number, since it is smaller than the sum of its proper divisors (151230848).

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

107865472 is a wasteful number, since it uses less digits than its factorization.

107865472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 107865472 is about 10385.8303471605. The cubic root of 107865472 is about 476.0225020551.

The spelling of 107865472 in words is "one hundred seven million, eight hundred sixty-five thousand, four hundred seventy-two".