107361564 has 12 divisors (see below), whose sum is σ = 250510344. Its totient is φ = 35787184.

The previous prime is 107361563. The next prime is 107361577. The reversal of 107361564 is 465163701.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107361563) 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 3 ways as a sum of consecutive naturals, for example, 4473387 + ... + 4473410.

It is an arithmetic number, because the mean of its divisors is an integer number (20875862).

Almost surely, 2^107361564 is an apocalyptic number.

It is an amenable number.

107361564 is an abundant number, since it is smaller than the sum of its proper divisors (143148780).

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

107361564 is a wasteful number, since it uses less digits than its factorization.

107361564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946804 (or 8946802 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 107361564 is about 10361.5425492539. The cubic root of 107361564 is about 475.2800771139.

The spelling of 107361564 in words is "one hundred seven million, three hundred sixty-one thousand, five hundred sixty-four".