107442456 has 64 divisors (see below), whose sum is σ = 294900480. Its totient is φ = 32350080.

The previous prime is 107442451. The next prime is 107442457. The reversal of 107442456 is 654244701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107442451) 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, 42870 + ... + 45306.

It is an arithmetic number, because the mean of its divisors is an integer number (4607820).

Almost surely, 2^107442456 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 107442456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147450240).

107442456 is an abundant number, since it is smaller than the sum of its proper divisors (187458024).

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

107442456 is a wasteful number, since it uses less digits than its factorization.

107442456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 107442456 is about 10365.4452871066. The cubic root of 107442456 is about 475.3994143725.

The spelling of 107442456 in words is "one hundred seven million, four hundred forty-two thousand, four hundred fifty-six".