102500 has 30 divisors (see below), whose sum is σ = 229614. Its totient is φ = 40000.

The previous prime is 102499. The next prime is 102503. The reversal of 102500 is 5201.

It can be written as a sum of positive squares in 5 ways, for example, as 68644 + 33856 = 262^2 + 184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102503) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2480 + ... + 2520.

2¹⁰²⁵⁰⁰ is an apocalyptic number.

102500 is a gapful number since it is divisible by the number (10) 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 102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114807).

102500 is an abundant number, since it is smaller than the sum of its proper divisors (127114).

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

102500 is an equidigital number, since it uses as much as digits as its factorization.

102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 102500 is about 320.1562118716. The cubic root of 102500 is about 46.7995081157.

Adding to 102500 its reverse (5201), we get a palindrome (107701).

The spelling of 102500 in words is "one hundred two thousand, five hundred".