105250 has 16 divisors (see below), whose sum is σ = 197496. Its totient is φ = 42000.

The previous prime is 105239. The next prime is 105251. The reversal of 105250 is 52501.

It can be written as a sum of positive squares in 4 ways, for example, as 4761 + 100489 = 69^2 + 317^2 .

It is a super-2 number, since 2×105250² = 22155125000, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105250.

It is not an unprimeable number, because it can be changed into a prime (105251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 460.

105250 is a Friedman number, since it can be written as 21050*5, using all its digits and the basic arithmetic operations.

2¹⁰⁵²⁵⁰ is an apocalyptic number.

105250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105250 is a deficient number, since it is larger than the sum of its proper divisors (92246).

105250 is an equidigital number, since it uses as much as digits as its factorization.

105250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 105250 is about 324.4225639502. The cubic root of 105250 is about 47.2143521422.

Adding to 105250 its reverse (52501), we get a palindrome (157751).

The spelling of 105250 in words is "one hundred five thousand, two hundred fifty".