102050 has 24 divisors (see below), whose sum is σ = 205716. Its totient is φ = 37440.

The previous prime is 102043. The next prime is 102059. The reversal of 102050 is 50201.

It can be written as a sum of positive squares in 6 ways, for example, as 11449 + 90601 = 107^2 + 301^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102059) by changing a digit.

102050 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572 + ... + 728.

2¹⁰²⁰⁵⁰ is an apocalyptic number.

102050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102050 is an abundant number, since it is smaller than the sum of its proper divisors (103666).

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

102050 is a wasteful number, since it uses less digits than its factorization.

102050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

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

The square root of 102050 is about 319.4526568993. The cubic root of 102050 is about 46.7309205605.

Adding to 102050 its reverse (50201), we get a palindrome (152251).

The spelling of 102050 in words is "one hundred two thousand, fifty".