102589472 has 48 divisors (see below), whose sum is σ = 210288960. Its totient is φ = 49206528.

The previous prime is 102589469. The next prime is 102589477. The reversal of 102589472 is 274985201.

It is not an unprimeable number, because it can be changed into a prime (102589477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210413 + ... + 210899.

It is an arithmetic number, because the mean of its divisors is an integer number (4381020).

Almost surely, 2^102589472 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 102589472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105144480).

102589472 is an abundant number, since it is smaller than the sum of its proper divisors (107699488).

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

102589472 is a wasteful number, since it uses less digits than its factorization.

102589472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 102589472 is about 10128.6461089328. The cubic root of 102589472 is about 468.1312121436.

The spelling of 102589472 in words is "one hundred two million, five hundred eighty-nine thousand, four hundred seventy-two".