105625256 has 48 divisors (see below), whose sum is σ = 229185600. Its totient is φ = 45476640.

The previous prime is 105625253. The next prime is 105625297. The reversal of 105625256 is 652526501.

It is a super-2 number, since 2×105625256² = 22313389410131072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105625253) 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, 15521 + ... + 21263.

It is an arithmetic number, because the mean of its divisors is an integer number (4774700).

Almost surely, 2^105625256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105625256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114592800).

105625256 is an abundant number, since it is smaller than the sum of its proper divisors (123560344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105625256 is a wasteful number, since it uses less digits than its factorization.

105625256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 105625256 is about 10277.4148500486. The cubic root of 105625256 is about 472.7039791911.

It can be divided in two parts, 105625 and 256, that multiplied together give a square (27040000 = 5200²).

The spelling of 105625256 in words is "one hundred five million, six hundred twenty-five thousand, two hundred fifty-six".