105081292996 has 12 divisors (see below), whose sum is σ = 183999126780. Its totient is φ = 52510113920.

The previous prime is 105081292963. The next prime is 105081292997. The reversal of 105081292996 is 699292180501.

It can be written as a sum of positive squares in 2 ways, for example, as 42123457600 + 62957835396 = 205240^2 + 250914^2 .

It is a super-2 number, since 2×105081292996² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105081292997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7625401 + ... + 7639168.

It is an arithmetic number, because the mean of its divisors is an integer number (15333260565).

Almost surely, 2^105081292996 is an apocalyptic number.

It is an amenable number.

105081292996 is a deficient number, since it is larger than the sum of its proper divisors (78917833784).

105081292996 is a wasteful number, since it uses less digits than its factorization.

105081292996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15266294 (or 15266292 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 105081292996 in words is "one hundred five billion, eighty-one million, two hundred ninety-two thousand, nine hundred ninety-six".