103533025664 has 64 divisors (see below), whose sum is σ = 207517939200. Its totient is φ = 51450954240.

The previous prime is 103533025649. The next prime is 103533025733. The reversal of 103533025664 is 466520335301.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 17465069 + ... + 17470995.

It is an arithmetic number, because the mean of its divisors is an integer number (3242467800).

Almost surely, 2^103533025664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103533025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103758969600).

103533025664 is an abundant number, since it is smaller than the sum of its proper divisors (103984913536).

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

103533025664 is an equidigital number, since it uses as much as digits as its factorization.

103533025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The spelling of 103533025664 in words is "one hundred three billion, five hundred thirty-three million, twenty-five thousand, six hundred sixty-four".