105625 has 15 divisors (see below), whose sum is σ = 142923. Its totient is φ = 78000.

The previous prime is 105619. The next prime is 105649. The reversal of 105625 is 526501.

105625 = T₃₂₄ + T₃₂₅.

105625 = 1³ + 2³ + ... + 25³.

It is a happy number.

The square root of 105625 is 325.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 104329 + 1296 = 323^2 + 36^2 .

It is not a de Polignac number, because 105625 - 2¹¹ = 103577 is a prime.

It is a super-2 number, since 2×105625² = 22313281250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8119 + ... + 8131.

105625 is a Friedman number, since it can be written as (65*5)^(2*(1+0)), using all its digits and the basic arithmetic operations.

2¹⁰⁵⁶²⁵ is an apocalyptic number.

105625 is the 325-th square number.

105625 is the 163-rd centered octagonal number.

It is an amenable number.

105625 is a deficient number, since it is larger than the sum of its proper divisors (37298).

105625 is an frugal number, since it uses more digits than its factorization.

105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The cubic root of 105625 is about 47.2703597299.

It can be divided in two parts, 1056 and 25, that added together give a triangular number (1081 = T₄₆).

The spelling of 105625 in words is "one hundred five thousand, six hundred twenty-five".