107442528 has 96 divisors (see below), whose sum is σ = 295464960. Its totient is φ = 34145280.

The previous prime is 107442457. The next prime is 107442539. The reversal of 107442528 is 825244701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 234876 + ... + 235332.

It is an arithmetic number, because the mean of its divisors is an integer number (3077760).

Almost surely, 2^107442528 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 107442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147732480).

107442528 is an abundant number, since it is smaller than the sum of its proper divisors (188022432).

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

107442528 is a wasteful number, since it uses less digits than its factorization.

107442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 107442528 is about 10365.4487601840. The cubic root of 107442528 is about 475.3995205650.

The spelling of 107442528 in words is "one hundred seven million, four hundred forty-two thousand, five hundred twenty-eight".