10307681505 has 48 divisors (see below), whose sum is σ = 20119656960. Its totient is φ = 4836441600.

The previous prime is 10307681479. The next prime is 10307681513. The reversal of 10307681505 is 50518670301.

10307681505 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 76 + 81 + 505 = 666.

10307681505 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10307681505 - 2⁵ = 10307681473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10307681505.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 320520 + ... + 351209.

It is an arithmetic number, because the mean of its divisors is an integer number (419159520).

Almost surely, 2^10307681505 is an apocalyptic number.

10307681505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10307681505 is a deficient number, since it is larger than the sum of its proper divisors (9811975455).

10307681505 is a wasteful number, since it uses less digits than its factorization.

10307681505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671782 (or 671779 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10307681505 in words is "ten billion, three hundred seven million, six hundred eighty-one thousand, five hundred five".