107942144 has 36 divisors (see below), whose sum is σ = 216134604. Its totient is φ = 53803008.

The previous prime is 107942141. The next prime is 107942167. The reversal of 107942144 is 441249701.

It can be written as a sum of positive squares in 2 ways, for example, as 34668544 + 73273600 = 5888^2 + 8560^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 107942144.

It is not an unprimeable number, because it can be changed into a prime (107942141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142214 + ... + 142970.

It is an arithmetic number, because the mean of its divisors is an integer number (6003739).

Almost surely, 2^107942144 is an apocalyptic number.

It is an amenable number.

107942144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

107942144 is an frugal number, since it uses more digits than its factorization.

107942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 107942144 is about 10389.5208744196. The cubic root of 107942144 is about 476.1352627387.

The spelling of 107942144 in words is "one hundred seven million, nine hundred forty-two thousand, one hundred forty-four".