105221912445711 has 12 divisors (see below), whose sum is σ = 154127871752400. Its totient is φ = 69159942452160.

The previous prime is 105221912445709. The next prime is 105221912445763. The reversal of 105221912445711 is 117544219122501.

105221912445711 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 2 + 191 + 2 + 4 + 457 + 1 + 1 = 666.

It is not a de Polignac number, because 105221912445711 - 2¹ = 105221912445709 is a prime.

It is a super-2 number, since 2×105221912445711² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105221912435711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82333264186 + ... + 82333265463.

It is an arithmetic number, because the mean of its divisors is an integer number (12843989312700).

Almost surely, 2^{105221912445711} is an apocalyptic number.

105221912445711 is a deficient number, since it is larger than the sum of its proper divisors (48905959306689).

105221912445711 is a wasteful number, since it uses less digits than its factorization.

105221912445711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164666529726 (or 164666529723 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 105221912445711 in words is "one hundred five trillion, two hundred twenty-one billion, nine hundred twelve million, four hundred forty-five thousand, seven hundred eleven".