12135610105 has 8 divisors (see below), whose sum is σ = 14563773000. Its totient is φ = 9707794176.

The previous prime is 12135610093. The next prime is 12135610117. The reversal of 12135610105 is 50101653121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12135610093) and next prime (12135610117).

It can be written as a sum of positive squares in 4 ways, for example, as 253956096 + 11881654009 = 15936^2 + 109003^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12135610105 - 2⁷ = 12135609977 is a prime.

It is a super-2 number, since 2×12135610105² (a number of 21 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 12135610105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2320 + ... + 155809.

It is an arithmetic number, because the mean of its divisors is an integer number (1820471625).

Almost surely, 2^12135610105 is an apocalyptic number.

It is an amenable number.

12135610105 is a deficient number, since it is larger than the sum of its proper divisors (2428162895).

12135610105 is a wasteful number, since it uses less digits than its factorization.

12135610105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173483.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 12135610105 in words is "twelve billion, one hundred thirty-five million, six hundred ten thousand, one hundred five".