105925263 has 32 divisors (see below), whose sum is σ = 150377472. Its totient is φ = 66240000.

The previous prime is 105925243. The next prime is 105925271. The reversal of 105925263 is 362529501.

It is a Cunningham number, because it is equal to 10292²-1.

It is not a de Polignac number, because 105925263 - 2⁸ = 105925007 is a prime.

It is a super-2 number, since 2×105925263² = 22440322683238338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105925213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421888 + ... + 422138.

It is an arithmetic number, because the mean of its divisors is an integer number (4699296).

Almost surely, 2^105925263 is an apocalyptic number.

105925263 is a deficient number, since it is larger than the sum of its proper divisors (44452209).

105925263 is a wasteful number, since it uses less digits than its factorization.

105925263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 105925263 is about 10291.9999514186. Note that the first 4 decimals coincide. The cubic root of 105925263 is about 473.1510958955.

The spelling of 105925263 in words is "one hundred five million, nine hundred twenty-five thousand, two hundred sixty-three".