105762116121 has 8 divisors (see below), whose sum is σ = 141017888544. Its totient is φ = 70507210560.

The previous prime is 105762116111. The next prime is 105762116153. The reversal of 105762116121 is 121611267501.

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

It is not a de Polignac number, because 105762116121 - 2³³ = 97172181529 is a prime.

It is a super-2 number, since 2×105762116121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105762116111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163026 + ... + 487956.

It is an arithmetic number, because the mean of its divisors is an integer number (17627236068).

Almost surely, 2^105762116121 is an apocalyptic number.

It is an amenable number.

105762116121 is a deficient number, since it is larger than the sum of its proper divisors (35255772423).

105762116121 is a wasteful number, since it uses less digits than its factorization.

105762116121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433431.

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 105762116121 in words is "one hundred five billion, seven hundred sixty-two million, one hundred sixteen thousand, one hundred twenty-one".