102388048 has 60 divisors (see below), whose sum is σ = 234056820. Its totient is φ = 43255296.

The previous prime is 102387977. The next prime is 102388049. The reversal of 102388048 is 840883201.

It can be written as a sum of positive squares in 2 ways, for example, as 80784144 + 21603904 = 8988^2 + 4648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102388049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56338 + ... + 58126.

It is an arithmetic number, because the mean of its divisors is an integer number (3900947).

Almost surely, 2^102388048 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 102388048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028410).

102388048 is an abundant number, since it is smaller than the sum of its proper divisors (131668772).

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

102388048 is a wasteful number, since it uses less digits than its factorization.

102388048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 102388048 is about 10118.6979399526. The cubic root of 102388048 is about 467.8246353954.

The spelling of 102388048 in words is "one hundred two million, three hundred eighty-eight thousand, forty-eight".