103352564 has 36 divisors (see below), whose sum is σ = 215306784. Its totient is φ = 43260336.

The previous prime is 103352539. The next prime is 103352567. The reversal of 103352564 is 465253301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103352567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2297 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (5980744).

Almost surely, 2^103352564 is an apocalyptic number.

103352564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103352564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107653392).

103352564 is an abundant number, since it is smaller than the sum of its proper divisors (111954220).

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

103352564 is a wasteful number, since it uses less digits than its factorization.

103352564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 103352564 is about 10166.2463082497. The cubic root of 103352564 is about 469.2890473361.

The spelling of 103352564 in words is "one hundred three million, three hundred fifty-two thousand, five hundred sixty-four".