105522446727 has 48 divisors (see below), whose sum is σ = 160434193920. Its totient is φ = 66764912256.

The previous prime is 105522446719. The next prime is 105522446749. The reversal of 105522446727 is 727644225501.

105522446727 is a `hidden beast` number, since 1 + 0 + 5 + 522 + 44 + 67 + 27 = 666.

It is not a de Polignac number, because 105522446727 - 2³ = 105522446719 is a prime.

It is a super-2 number, since 2×105522446727² (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 (105522446707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507403 + ... + 2549139.

It is an arithmetic number, because the mean of its divisors is an integer number (3342379040).

Almost surely, 2^105522446727 is an apocalyptic number.

105522446727 is a deficient number, since it is larger than the sum of its proper divisors (54911747193).

105522446727 is a wasteful number, since it uses less digits than its factorization.

105522446727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41972 (or 41969 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 105522446727 in words is "one hundred five billion, five hundred twenty-two million, four hundred forty-six thousand, seven hundred twenty-seven".