105131825 has 12 divisors (see below), whose sum is σ = 138032460. Its totient is φ = 79157760.

The previous prime is 105131821. The next prime is 105131849. The reversal of 105131825 is 528131501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12645136 + 92486689 = 3556^2 + 9617^2 .

It is not a de Polignac number, because 105131825 - 2² = 105131821 is a prime.

It is a super-2 number, since 2×105131825² = 22105401255661250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105131794 and 105131803.

It is not an unprimeable number, because it can be changed into a prime (105131821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123260 + ... + 124109.

It is an arithmetic number, because the mean of its divisors is an integer number (11502705).

Almost surely, 2^105131825 is an apocalyptic number.

It is an amenable number.

105131825 is a deficient number, since it is larger than the sum of its proper divisors (32900635).

105131825 is a wasteful number, since it uses less digits than its factorization.

105131825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247396 (or 247391 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 105131825 is about 10253.3811496501. The cubic root of 105131825 is about 471.9667472145.

The spelling of 105131825 in words is "one hundred five million, one hundred thirty-one thousand, eight hundred twenty-five".