105217625 has 8 divisors (see below), whose sum is σ = 131311752. Its totient is φ = 84174000.

The previous prime is 105217589. The next prime is 105217639. The reversal of 105217625 is 526712501.

It can be written as a sum of positive squares in 4 ways, for example, as 4897369 + 100320256 = 2213^2 + 10016^2 .

It is not a de Polignac number, because 105217625 - 2¹² = 105213529 is a prime.

It is a super-2 number, since 2×105217625² = 22141497221281250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420746 + ... + 420995.

It is an arithmetic number, because the mean of its divisors is an integer number (16413969).

Almost surely, 2^105217625 is an apocalyptic number.

It is an amenable number.

105217625 is a deficient number, since it is larger than the sum of its proper divisors (26094127).

105217625 is an frugal number, since it uses more digits than its factorization.

105217625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841756 (or 841746 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 105217625 is about 10257.5642820311. The cubic root of 105217625 is about 472.0951058593.

The spelling of 105217625 in words is "one hundred five million, two hundred seventeen thousand, six hundred twenty-five".