105513025 has 6 divisors (see below), whose sum is σ = 130836182. Its totient is φ = 84410400.

The previous prime is 105513019. The next prime is 105513041. The reversal of 105513025 is 520315501.

It can be written as a sum of positive squares in 3 ways, for example, as 18948609 + 86564416 = 4353^2 + 9304^2 .

It is not a de Polignac number, because 105513025 - 2³ = 105513017 is a prime.

It is a super-2 number, since 2×105513025² = 22265996889301250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105512987 and 105513005.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2110236 + ... + 2110285.

Almost surely, 2^105513025 is an apocalyptic number.

It is an amenable number.

105513025 is a deficient number, since it is larger than the sum of its proper divisors (25323157).

105513025 is an equidigital number, since it uses as much as digits as its factorization.

105513025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220531 (or 4220526 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105513025 is about 10271.9533195980. The cubic root of 105513025 is about 472.5364976520.

Adding to 105513025 its reverse (520315501), we get a palindrome (625828526).

It can be divided in two parts, 10 and 5513025, that multiplied together give a triangular number (55130250 = T₁₀₅₀₀).

The spelling of 105513025 in words is "one hundred five million, five hundred thirteen thousand, twenty-five".