102150 has 36 divisors (see below), whose sum is σ = 275652. Its totient is φ = 27120.

The previous prime is 102149. The next prime is 102161. The reversal of 102150 is 51201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 337 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (7657).

2¹⁰²¹⁵⁰ is an apocalyptic number.

102150 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 102150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137826).

102150 is an abundant number, since it is smaller than the sum of its proper divisors (173502).

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

102150 is a wasteful number, since it uses less digits than its factorization.

102150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 102150 is about 319.6091362899. The cubic root of 102150 is about 46.7461796377.

Adding to 102150 its reverse (51201), we get a palindrome (153351).

It can be divided in two parts, 102 and 150, that added together give a palindrome (252).

The spelling of 102150 in words is "one hundred two thousand, one hundred fifty".