102250624 has 64 divisors (see below), whose sum is σ = 234763200. Its totient is φ = 43453440.

The previous prime is 102250619. The next prime is 102250627. The reversal of 102250624 is 426052201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102250595 and 102250604.

It is not an unprimeable number, because it can be changed into a prime (102250627) 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, 124134 + ... + 124954.

It is an arithmetic number, because the mean of its divisors is an integer number (3668175).

Almost surely, 2^102250624 is an apocalyptic number.

102250624 is a gapful number since it is divisible by the number (14) 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 102250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117381600).

102250624 is an abundant number, since it is smaller than the sum of its proper divisors (132512576).

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

102250624 is an equidigital number, since it uses as much as digits as its factorization.

102250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 102250624 is about 10111.9050628455. The cubic root of 102250624 is about 467.6152388280.

The spelling of 102250624 in words is "one hundred two million, two hundred fifty thousand, six hundred twenty-four".