10305149673 has 72 divisors (see below), whose sum is σ = 17867218176. Its totient is φ = 5259945600.

The previous prime is 10305149671. The next prime is 10305149689. The reversal of 10305149673 is 37694150301.

10305149673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10305149673 - 2¹ = 10305149671 is a prime.

It is a super-2 number, since 2×10305149673² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305149671) 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 71 ways as a sum of consecutive naturals, for example, 763443 + ... + 776823.

It is an arithmetic number, because the mean of its divisors is an integer number (248155808).

Almost surely, 2^10305149673 is an apocalyptic number.

10305149673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10305149673 is a deficient number, since it is larger than the sum of its proper divisors (7562068503).

10305149673 is a wasteful number, since it uses less digits than its factorization.

10305149673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455 (or 13435 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

Adding to 10305149673 its reverse (37694150301), we get a palindrome (47999299974).

The spelling of 10305149673 in words is "ten billion, three hundred five million, one hundred forty-nine thousand, six hundred seventy-three".