105033046637 has 2 divisors, whose sum is σ = 105033046638. Its totient is φ = 105033046636.

The previous prime is 105033046627. The next prime is 105033046673. The reversal of 105033046637 is 736640330501.

It is a happy number.

Together with next prime (105033046673) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71753801161 + 33279245476 = 267869^2 + 182426^2 .

It is a cyclic number.

It is not a de Polignac number, because 105033046637 - 2⁴ = 105033046621 is a prime.

It is a super-2 number, since 2×105033046637² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105033046637.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105033046627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52516523318 + 52516523319.

It is an arithmetic number, because the mean of its divisors is an integer number (52516523319).

Almost surely, 2^105033046637 is an apocalyptic number.

It is an amenable number.

105033046637 is a deficient number, since it is larger than the sum of its proper divisors (1).

105033046637 is an equidigital number, since it uses as much as digits as its factorization.

105033046637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 38.

The spelling of 105033046637 in words is "one hundred five billion, thirty-three million, forty-six thousand, six hundred thirty-seven".