82000107 has 28 divisors (see below), whose sum is σ = 140516080. Its totient is φ = 46854288.

The previous prime is 82000073. The next prime is 82000151. The reversal of 82000107 is 70100028.

It is not a de Polignac number, because 82000107 - 2¹² = 81996011 is a prime.

It is a super-2 number, since 2×82000107² = 13448035096022898, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82000107.

It is not an unprimeable number, because it can be changed into a prime (82000157) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2932 + ... + 13137.

Almost surely, 2^82000107 is an apocalyptic number.

82000107 is a deficient number, since it is larger than the sum of its proper divisors (58515973).

82000107 is an equidigital number, since it uses as much as digits as its factorization.

82000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16094 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82000107 is about 9055.3910462221. The cubic root of 82000107 is about 434.4483375441.

The spelling of 82000107 in words is "eighty-two million, one hundred seven", and thus it is an aban number.