2137668012105 has 16 divisors (see below), whose sum is σ = 3420508459200. Its totient is φ = 1140009726528.

The previous prime is 2137668012049. The next prime is 2137668012121. The reversal of 2137668012105 is 5012108667312.

It is a happy number.

It is not a de Polignac number, because 2137668012105 - 2¹¹ = 2137668010057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4770955 + ... + 5199744.

It is an arithmetic number, because the mean of its divisors is an integer number (213781778700).

Almost surely, 2^{2137668012105} is an apocalyptic number.

It is an amenable number.

2137668012105 is a deficient number, since it is larger than the sum of its proper divisors (1282840447095).

2137668012105 is a wasteful number, since it uses less digits than its factorization.

2137668012105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985000.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 2137668012105 in words is "two trillion, one hundred thirty-seven billion, six hundred sixty-eight million, twelve thousand, one hundred five".