105021443252205 has 80 divisors (see below), whose sum is σ = 198686535505920. Its totient is φ = 52924917670272.

The previous prime is 105021443252189. The next prime is 105021443252233. The reversal of 105021443252205 is 502252344120501.

105021443252205 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 2 + 1 + 443 + 2 + 5 + 2 + 205 = 666.

It is not a de Polignac number, because 105021443252205 - 2⁴ = 105021443252189 is a prime.

It is a super-2 number, since 2×105021443252205² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105021443252205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14870062 + ... + 20764431.

It is an arithmetic number, because the mean of its divisors is an integer number (2483581693824).

Almost surely, 2^{105021443252205} is an apocalyptic number.

105021443252205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105021443252205 is a deficient number, since it is larger than the sum of its proper divisors (93665092253715).

105021443252205 is a wasteful number, since it uses less digits than its factorization.

105021443252205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35634912 (or 35634903 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 105021443252205 its reverse (502252344120501), we get a palindrome (607273787372706).

The spelling of 105021443252205 in words is "one hundred five trillion, twenty-one billion, four hundred forty-three million, two hundred fifty-two thousand, two hundred five".