105086525 has 12 divisors (see below), whose sum is σ = 130483092. Its totient is φ = 83955840.

The previous prime is 105086491. The next prime is 105086557. The reversal of 105086525 is 525680501.

It can be written as a sum of positive squares in 6 ways, for example, as 6461764 + 98624761 = 2542^2 + 9931^2 .

It is not a de Polignac number, because 105086525 - 2²⁰ = 104037949 is a prime.

It is a super-2 number, since 2×105086525² = 22086355473151250, 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 = 105086491 and 105086500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19529 + ... + 24321.

It is an arithmetic number, because the mean of its divisors is an integer number (10873591).

Almost surely, 2^105086525 is an apocalyptic number.

It is an amenable number.

105086525 is a deficient number, since it is larger than the sum of its proper divisors (25396567).

105086525 is an equidigital number, since it uses as much as digits as its factorization.

105086525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 105086525 is about 10251.1718842287. The cubic root of 105086525 is about 471.8989492691.

The spelling of 105086525 in words is "one hundred five million, eighty-six thousand, five hundred twenty-five".