105225525335 has 32 divisors (see below), whose sum is σ = 150101766144. Its totient is φ = 69293952000.

The previous prime is 105225525323. The next prime is 105225525337. The reversal of 105225525335 is 533525522501.

It is not a de Polignac number, because 105225525335 - 2¹⁰ = 105225524311 is a prime.

It is a super-2 number, since 2×105225525335² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105225525337) 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, 228026 + ... + 512295.

It is an arithmetic number, because the mean of its divisors is an integer number (4690680192).

Almost surely, 2^105225525335 is an apocalyptic number.

105225525335 is a deficient number, since it is larger than the sum of its proper divisors (44876240809).

105225525335 is a wasteful number, since it uses less digits than its factorization.

105225525335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740495.

The product of its (nonzero) digits is 225000, while the sum is 38.

The spelling of 105225525335 in words is "one hundred five billion, two hundred twenty-five million, five hundred twenty-five thousand, three hundred thirty-five".