105610625 has 10 divisors (see below), whose sum is σ = 131971818. Its totient is φ = 84488000.

The previous prime is 105610621. The next prime is 105610627. The reversal of 105610625 is 526016501.

It can be written as a sum of positive squares in 5 ways, for example, as 50865424 + 54745201 = 7132^2 + 7399^2 .

It is not a de Polignac number, because 105610625 - 2² = 105610621 is a prime.

It is a super-2 number, since 2×105610625² = 22307208225781250, 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 = 105610594 and 105610603.

It is not an unprimeable number, because it can be changed into a prime (105610621) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 83864 + ... + 85113.

Almost surely, 2^105610625 is an apocalyptic number.

It is an amenable number.

105610625 is a deficient number, since it is larger than the sum of its proper divisors (26361193).

105610625 is an frugal number, since it uses more digits than its factorization.

105610625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168997 (or 168982 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105610625 is about 10276.7030218840. The cubic root of 105610625 is about 472.6821521788.

The spelling of 105610625 in words is "one hundred five million, six hundred ten thousand, six hundred twenty-five".