105072071722011 has 12 divisors (see below), whose sum is σ = 151782353337888. Its totient is φ = 70042701781104.

The previous prime is 105072071722001. The next prime is 105072071722021. The reversal of 105072071722011 is 110227170270501.

It is a happy number.

105072071722011 is a `hidden beast` number, since 1 + 0 + 507 + 2 + 0 + 71 + 72 + 2 + 0 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (105072071722001) and next prime (105072071722021).

It is not a de Polignac number, because 105072071722011 - 2¹¹ = 105072071719963 is a prime.

It is a super-2 number, since 2×105072071722011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105072071722001) 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, 445378320 + ... + 445614173.

It is an arithmetic number, because the mean of its divisors is an integer number (12648529444824).

Almost surely, 2^{105072071722011} is an apocalyptic number.

105072071722011 is a deficient number, since it is larger than the sum of its proper divisors (46710281615877).

105072071722011 is a wasteful number, since it uses less digits than its factorization.

105072071722011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891005602 (or 891005599 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 36.

The spelling of 105072071722011 in words is "one hundred five trillion, seventy-two billion, seventy-one million, seven hundred twenty-two thousand, eleven".