12461610105 has 64 divisors (see below), whose sum is σ = 26419691520. Its totient is φ = 5449042368.

The previous prime is 12461610089. The next prime is 12461610121. The reversal of 12461610105 is 50101616421.

12461610105 is a `hidden beast` number, since 1 + 2 + 46 + 1 + 610 + 1 + 0 + 5 = 666.

12461610105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12461610089) and next prime (12461610121).

It is not a de Polignac number, because 12461610105 - 2⁴ = 12461610089 is a prime.

It is a super-2 number, since 2×12461610105² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 264937 + ... + 308406.

It is an arithmetic number, because the mean of its divisors is an integer number (412807680).

Almost surely, 2^12461610105 is an apocalyptic number.

12461610105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12461610105 is an abundant number, since it is smaller than the sum of its proper divisors (13958081415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12461610105 is a wasteful number, since it uses less digits than its factorization.

12461610105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573387 (or 573381 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12461610105 in words is "twelve billion, four hundred sixty-one million, six hundred ten thousand, one hundred five".