102250152 has 96 divisors (see below), whose sum is σ = 290933760. Its totient is φ = 32400000.

The previous prime is 102250139. The next prime is 102250193. The reversal of 102250152 is 251052201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 135777 + ... + 136527.

It is an arithmetic number, because the mean of its divisors is an integer number (3030560).

Almost surely, 2^102250152 is an apocalyptic number.

102250152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102250152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145466880).

102250152 is an abundant number, since it is smaller than the sum of its proper divisors (188683608).

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

102250152 is a wasteful number, since it uses less digits than its factorization.

102250152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102250152 is about 10111.8817239918. The cubic root of 102250152 is about 467.6145193059.

The spelling of 102250152 in words is "one hundred two million, two hundred fifty thousand, one hundred fifty-two".