102358048 has 48 divisors (see below), whose sum is σ = 218295000. Its totient is φ = 46964736.

The previous prime is 102358033. The next prime is 102358049. The reversal of 102358048 is 840853201.

It can be written as a sum of positive squares in 4 ways, for example, as 92698384 + 9659664 = 9628^2 + 3108^2 .

It is not an unprimeable number, because it can be changed into a prime (102358049) 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, 81328 + ... + 82576.

Almost surely, 2^102358048 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 102358048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109147500).

102358048 is an abundant number, since it is smaller than the sum of its proper divisors (115936952).

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

102358048 is a wasteful number, since it uses less digits than its factorization.

102358048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 102358048 is about 10117.2154271815. The cubic root of 102358048 is about 467.7789395995.

The spelling of 102358048 in words is "one hundred two million, three hundred fifty-eight thousand, forty-eight".