105100052221 has 16 divisors (see below), whose sum is σ = 112731729264. Its totient is φ = 97634893824.

The previous prime is 105100052219. The next prime is 105100052237. The reversal of 105100052221 is 122250001501.

It can be written as a sum of positive squares in 8 ways, for example, as 9919164025 + 95180888196 = 99595^2 + 308514^2 .

It is a cyclic number.

It is not a de Polignac number, because 105100052221 - 2¹ = 105100052219 is a prime.

It is a super-2 number, since 2×105100052221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100052251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529641 + ... + 700513.

It is an arithmetic number, because the mean of its divisors is an integer number (7045733079).

Almost surely, 2^105100052221 is an apocalyptic number.

It is an amenable number.

105100052221 is a deficient number, since it is larger than the sum of its proper divisors (7631677043).

105100052221 is a wasteful number, since it uses less digits than its factorization.

105100052221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171360.

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 105100052221 its reverse (122250001501), we get a palindrome (227350053722).

The spelling of 105100052221 in words is "one hundred five billion, one hundred million, fifty-two thousand, two hundred twenty-one".