100103564 has 24 divisors (see below), whose sum is σ = 192402000. Its totient is φ = 45193280.

The previous prime is 100103543. The next prime is 100103573. The reversal of 100103564 is 465301001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1079 + ... + 14190.

It is an arithmetic number, because the mean of its divisors is an integer number (8016750).

Almost surely, 2^100103564 is an apocalyptic number.

It is an amenable number.

100103564 is a deficient number, since it is larger than the sum of its proper divisors (92298436).

100103564 is a wasteful number, since it uses less digits than its factorization.

100103564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15433 (or 15431 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100103564 is about 10005.1768600060. The cubic root of 100103564 is about 464.3190619135.

Adding to 100103564 its reverse (465301001), we get a palindrome (565404565).

The spelling of 100103564 in words is "one hundred million, one hundred three thousand, five hundred sixty-four".