105136054262313 has 16 divisors (see below), whose sum is σ = 140343872834880. Its totient is φ = 70009502337216.

The previous prime is 105136054262293. The next prime is 105136054262341. The reversal of 105136054262313 is 313262450631501.

It is a happy number.

It is not a de Polignac number, because 105136054262313 - 2⁶ = 105136054262249 is a prime.

It is a super-2 number, since 2×105136054262313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105136054282313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8592258 + ... + 16855236.

It is an arithmetic number, because the mean of its divisors is an integer number (8771492052180).

Almost surely, 2^{105136054262313} is an apocalyptic number.

It is an amenable number.

105136054262313 is a deficient number, since it is larger than the sum of its proper divisors (35207818572567).

105136054262313 is a wasteful number, since it uses less digits than its factorization.

105136054262313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267896.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 105136054262313 in words is "one hundred five trillion, one hundred thirty-six billion, fifty-four million, two hundred sixty-two thousand, three hundred thirteen".