103368564 has 36 divisors (see below), whose sum is σ = 281393476. Its totient is φ = 31805568.

The previous prime is 103368547. The next prime is 103368583. The reversal of 103368564 is 465863301.

103368564 is a `hidden beast` number, since 1 + 0 + 33 + 68 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62536464 + 40832100 = 7908^2 + 6390^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 109969 + ... + 110904.

Almost surely, 2^103368564 is an apocalyptic number.

It is an amenable number.

103368564 is an abundant number, since it is smaller than the sum of its proper divisors (178024912).

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

103368564 is a wasteful number, since it uses less digits than its factorization.

103368564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220896 (or 220891 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 103368564 is about 10167.0331955787. The cubic root of 103368564 is about 469.3132629499.

The spelling of 103368564 in words is "one hundred three million, three hundred sixty-eight thousand, five hundred sixty-four".