105129947322 has 12 divisors (see below), whose sum is σ = 227781552570. Its totient is φ = 35043315768.

The previous prime is 105129947269. The next prime is 105129947323. The reversal of 105129947322 is 223749921501.

105129947322 is a `hidden beast` number, since 1 + 0 + 512 + 99 + 47 + 3 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89293990041 + 15835957281 = 298821^2 + 125841^2 .

It is a super-2 number, since 2×105129947322² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105129947323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2920276297 + ... + 2920276332.

Almost surely, 2^105129947322 is an apocalyptic number.

105129947322 is an abundant number, since it is smaller than the sum of its proper divisors (122651605248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105129947322 is a wasteful number, since it uses less digits than its factorization.

105129947322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840552637 (or 5840552634 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 105129947322 in words is "one hundred five billion, one hundred twenty-nine million, nine hundred forty-seven thousand, three hundred twenty-two".