105413525 has 24 divisors (see below), whose sum is σ = 149823744. Its totient is φ = 72072000.

The previous prime is 105413513. The next prime is 105413543. The reversal of 105413525 is 525314501.

It is not a de Polignac number, because 105413525 - 2⁶ = 105413461 is a prime.

It is a super-2 number, since 2×105413525² = 22224022505851250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105413494 and 105413503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80375 + ... + 81675.

It is an arithmetic number, because the mean of its divisors is an integer number (6242656).

Almost surely, 2^105413525 is an apocalyptic number.

It is an amenable number.

105413525 is a deficient number, since it is larger than the sum of its proper divisors (44410219).

105413525 is a wasteful number, since it uses less digits than its factorization.

105413525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 105413525 is about 10267.1088919910. The cubic root of 105413525 is about 472.3879151473.

The spelling of 105413525 in words is "one hundred five million, four hundred thirteen thousand, five hundred twenty-five".