10105616525 has 6 divisors (see below), whose sum is σ = 12530964522. Its totient is φ = 8084493200.

The previous prime is 10105616501. The next prime is 10105616537. The reversal of 10105616525 is 52561650101.

It can be written as a sum of positive squares in 3 ways, for example, as 2139340009 + 7966276516 = 46253^2 + 89254^2 .

It is not a de Polignac number, because 10105616525 - 2¹⁶ = 10105550989 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10105616491 and 10105616500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202112306 + ... + 202112355.

It is an arithmetic number, because the mean of its divisors is an integer number (2088494087).

Almost surely, 2^10105616525 is an apocalyptic number.

It is an amenable number.

10105616525 is a deficient number, since it is larger than the sum of its proper divisors (2425347997).

10105616525 is an equidigital number, since it uses as much as digits as its factorization.

10105616525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404224671 (or 404224666 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 10105616525 in words is "ten billion, one hundred five million, six hundred sixteen thousand, five hundred twenty-five".