103089664 has 80 divisors (see below), whose sum is σ = 218758320. Its totient is φ = 48455680.

The previous prime is 103089661. The next prime is 103089667. The reversal of 103089664 is 466980301.

It is an interprime number because it is at equal distance from previous prime (103089661) and next prime (103089667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103089661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786879 + ... + 787009.

It is an arithmetic number, because the mean of its divisors is an integer number (2734479).

Almost surely, 2^103089664 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 103089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109379160).

103089664 is an abundant number, since it is smaller than the sum of its proper divisors (115668656).

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

103089664 is an equidigital number, since it uses as much as digits as its factorization.

103089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 103089664 is about 10153.3080323607. The cubic root of 103089664 is about 468.8907961292.

The spelling of 103089664 in words is "one hundred three million, eighty-nine thousand, six hundred sixty-four".