105121360014033 has 16 divisors (see below), whose sum is σ = 152937276742656. Its totient is φ = 63695965010640.

The previous prime is 105121360013959. The next prime is 105121360014037. The reversal of 105121360014033 is 330410063121501.

It is not a de Polignac number, because 105121360014033 - 2⁹ = 105121360013521 is a prime.

It is a super-2 number, since 2×105121360014033² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105121360014037) 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, 348600741 + ... + 348902162.

It is an arithmetic number, because the mean of its divisors is an integer number (9558579796416).

Almost surely, 2^{105121360014033} is an apocalyptic number.

It is an amenable number.

105121360014033 is a deficient number, since it is larger than the sum of its proper divisors (47815916728623).

105121360014033 is a wasteful number, since it uses less digits than its factorization.

105121360014033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697507484.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 105121360014033 in words is "one hundred five trillion, one hundred twenty-one billion, three hundred sixty million, fourteen thousand, thirty-three".