102850 has 36 divisors (see below), whose sum is σ = 222642. Its totient is φ = 35200.

The previous prime is 102841. The next prime is 102859. The reversal of 102850 is 58201.

Added to its reverse (58201) it gives a 5-th power (161051 = 11⁵).

It is a happy number.

102850 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (102841) and next prime (102859).

It can be written as a sum of positive squares in 3 ways, for example, as 88209 + 14641 = 297^2 + 121^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6042 + ... + 6058.

2¹⁰²⁸⁵⁰ is an apocalyptic number.

102850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102850 is an abundant number, since it is smaller than the sum of its proper divisors (119792).

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

102850 is a wasteful number, since it uses less digits than its factorization.

102850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 102850 is about 320.7023542165. The cubic root of 102850 is about 46.8527153333.

Adding to 102850 its reverse (58201), we get a 5-th power (161051 = 11⁵).

The spelling of 102850 in words is "one hundred two thousand, eight hundred fifty".