102589312 has 64 divisors (see below), whose sum is σ = 237529440. Its totient is φ = 43223040.

The previous prime is 102589307. The next prime is 102589313. The reversal of 102589312 is 213985201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102589313) 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 7 ways as a sum of consecutive naturals, for example, 53718 + ... + 55594.

Almost surely, 2^102589312 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 102589312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118764720).

102589312 is an abundant number, since it is smaller than the sum of its proper divisors (134940128).

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

102589312 is an equidigital number, since it uses as much as digits as its factorization.

102589312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 102589312 is about 10128.6382105395. The cubic root of 102589312 is about 468.1309687754.

The spelling of 102589312 in words is "one hundred two million, five hundred eighty-nine thousand, three hundred twelve".