105222304334025 has 18 divisors (see below), whose sum is σ = 188464838429790. Its totient is φ = 56118562311360.

The previous prime is 105222304334023. The next prime is 105222304334029. The reversal of 105222304334025 is 520433403222501.

105222304334025 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 2 + 2 + 304 + 3 + 340 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 531161100864 + 104691143233161 = 728808^2 + 10231869^2 .

It is not a de Polignac number, because 105222304334025 - 2¹ = 105222304334023 is a prime.

It is a super-2 number, since 2×105222304334025² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105222304334023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 233827342740 + ... + 233827343189.

It is an arithmetic number, because the mean of its divisors is an integer number (10470268801655).

Almost surely, 2^{105222304334025} is an apocalyptic number.

105222304334025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105222304334025 is a deficient number, since it is larger than the sum of its proper divisors (83242534095765).

105222304334025 is a wasteful number, since it uses less digits than its factorization.

105222304334025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467654685945 (or 467654685937 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 105222304334025 its reverse (520433403222501), we get a palindrome (625655707556526).

The spelling of 105222304334025 in words is "one hundred five trillion, two hundred twenty-two billion, three hundred four million, three hundred thirty-four thousand, twenty-five".