130612006105 has 24 divisors (see below), whose sum is σ = 183547398600. Its totient is φ = 88961402880.

The previous prime is 130612006081. The next prime is 130612006121. The reversal of 130612006105 is 501600216031.

It can be written as a sum of positive squares in 4 ways, for example, as 8214884496 + 122397121609 = 90636^2 + 349853^2 .

It is not a de Polignac number, because 130612006105 - 2⁷ = 130612005977 is a prime.

It is a super-2 number, since 2×130612006105² (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 130612006105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752456 + ... + 1825465.

It is an arithmetic number, because the mean of its divisors is an integer number (7647808275).

Almost surely, 2^130612006105 is an apocalyptic number.

It is an amenable number.

130612006105 is a deficient number, since it is larger than the sum of its proper divisors (52935392495).

130612006105 is a wasteful number, since it uses less digits than its factorization.

130612006105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578089 (or 3578082 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 130612006105 in words is "one hundred thirty billion, six hundred twelve million, six thousand, one hundred five".