107585052 has 24 divisors (see below), whose sum is σ = 251212416. Its totient is φ = 35835888.

The previous prime is 107585039. The next prime is 107585057. The reversal of 107585052 is 250585701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107585057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22113 + ... + 26535.

It is an arithmetic number, because the mean of its divisors is an integer number (10467184).

Almost surely, 2^107585052 is an apocalyptic number.

107585052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107585052 is an abundant number, since it is smaller than the sum of its proper divisors (143627364).

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

107585052 is a wasteful number, since it uses less digits than its factorization.

107585052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 107585052 is about 10372.3214373640. The cubic root of 107585052 is about 475.6096356995.

The spelling of 107585052 in words is "one hundred seven million, five hundred eighty-five thousand, fifty-two".