10082676951 has 12 divisors (see below), whose sum is σ = 14565230160. Its totient is φ = 6721155360.

The previous prime is 10082676941. The next prime is 10082676959. The reversal of 10082676951 is 15967628001.

It is not a de Polignac number, because 10082676951 - 2¹⁰ = 10082675927 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10082676897 and 10082676906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082676959) 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 in 11 ways as a sum of consecutive naturals, for example, 62235 + ... + 155043.

It is an arithmetic number, because the mean of its divisors is an integer number (1213769180).

Almost surely, 2^10082676951 is an apocalyptic number.

10082676951 is a deficient number, since it is larger than the sum of its proper divisors (4482553209).

10082676951 is a wasteful number, since it uses less digits than its factorization.

10082676951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104886 (or 104883 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10082676951 in words is "ten billion, eighty-two million, six hundred seventy-six thousand, nine hundred fifty-one".