105351162616233 has 24 divisors (see below), whose sum is σ = 152429766395400. Its totient is φ = 70116059280384.

The previous prime is 105351162616229. The next prime is 105351162616237. The reversal of 105351162616233 is 332616261153501.

105351162616233 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 1 + 1 + 6 + 2 + 616 + 23 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (105351162616229) and next prime (105351162616237).

It can be written as a sum of positive squares in 4 ways, for example, as 95564857929984 + 9786304686249 = 9775728^2 + 3128307^2 .

It is not a de Polignac number, because 105351162616233 - 2² = 105351162616229 is a prime.

It is a super-2 number, since 2×105351162616233² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105351162616237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28149433 + ... + 31671641.

It is an arithmetic number, because the mean of its divisors is an integer number (6351240266475).

Almost surely, 2^{105351162616233} is an apocalyptic number.

It is an amenable number.

105351162616233 is a deficient number, since it is larger than the sum of its proper divisors (47078603779167).

105351162616233 is a wasteful number, since it uses less digits than its factorization.

105351162616233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527801 (or 3527798 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 105351162616233 in words is "one hundred five trillion, three hundred fifty-one billion, one hundred sixty-two million, six hundred sixteen thousand, two hundred thirty-three".