105001625 has 16 divisors (see below), whose sum is σ = 131933568. Its totient is φ = 83430000.

The previous prime is 105001621. The next prime is 105001643. The reversal of 105001625 is 526100501.

It is not a de Polignac number, because 105001625 - 2² = 105001621 is a prime.

It is a super-2 number, since 2×105001625² = 22050682505281250, 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 = 105001597 and 105001606.

It is not an unprimeable number, because it can be changed into a prime (105001621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16094 + ... + 21656.

It is an arithmetic number, because the mean of its divisors is an integer number (8245848).

Almost surely, 2^105001625 is an apocalyptic number.

It is an amenable number.

105001625 is a deficient number, since it is larger than the sum of its proper divisors (26931943).

105001625 is an equidigital number, since it uses as much as digits as its factorization.

105001625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105001625 is about 10247.0300575337. The cubic root of 105001625 is about 471.7718317501.

The spelling of 105001625 in words is "one hundred five million, one thousand, six hundred twenty-five".