102459248 has 80 divisors (see below), whose sum is σ = 218557440. Its totient is φ = 46368000.

The previous prime is 102459209. The next prime is 102459251. The reversal of 102459248 is 842954201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014398 + ... + 1014498.

It is an arithmetic number, because the mean of its divisors is an integer number (2731968).

Almost surely, 2^102459248 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 102459248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

102459248 is an abundant number, since it is smaller than the sum of its proper divisors (116098192).

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

102459248 is a wasteful number, since it uses less digits than its factorization.

102459248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 102459248 is about 10122.2155677500. The cubic root of 102459248 is about 467.9330510315.

The spelling of 102459248 in words is "one hundred two million, four hundred fifty-nine thousand, two hundred forty-eight".