105133472641 has 2 divisors, whose sum is σ = 105133472642. Its totient is φ = 105133472640.

The previous prime is 105133472579. The next prime is 105133472671. The reversal of 105133472641 is 146274331501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82369000000 + 22764472641 = 287000^2 + 150879^2 .

It is an emirp because it is prime and its reverse (146274331501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105133472641 - 2⁷ = 105133472513 is a prime.

It is a super-2 number, since 2×105133472641² (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 105133472641.

It is not a weakly prime, because it can be changed into another prime (105133472671) 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, 52566736320 + 52566736321.

It is an arithmetic number, because the mean of its divisors is an integer number (52566736321).

Almost surely, 2^105133472641 is an apocalyptic number.

It is an amenable number.

105133472641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105133472641 is an equidigital number, since it uses as much as digits as its factorization.

105133472641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 105133472641 in words is "one hundred five billion, one hundred thirty-three million, four hundred seventy-two thousand, six hundred forty-one".