102005250 has 64 divisors (see below), whose sum is σ = 256044672. Its totient is φ = 27048000.

The previous prime is 102005191. The next prime is 102005261. The reversal of 102005250 is 52500201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207505 + ... + 207995.

It is an arithmetic number, because the mean of its divisors is an integer number (4000698).

Almost surely, 2^102005250 is an apocalyptic number.

102005250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102005250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128022336).

102005250 is an abundant number, since it is smaller than the sum of its proper divisors (154039422).

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

102005250 is a wasteful number, since it uses less digits than its factorization.

102005250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 102005250 is about 10099.7648487477. The cubic root of 102005250 is about 467.2408889483.

Adding to 102005250 its reverse (52500201), we get a palindrome (154505451).

The spelling of 102005250 in words is "one hundred two million, five thousand, two hundred fifty".