105116331 has 8 divisors (see below), whose sum is σ = 142799760. Its totient is φ = 68755232.

The previous prime is 105116327. The next prime is 105116351. The reversal of 105116331 is 133611501.

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

It is a cyclic number.

It is not a de Polignac number, because 105116331 - 2² = 105116327 is a prime.

It is a super-2 number, since 2×105116331² = 22098886085803122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105116298 and 105116307.

It is not an unprimeable number, because it can be changed into a prime (105116311) 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, 330396 + ... + 330713.

It is an arithmetic number, because the mean of its divisors is an integer number (17849970).

Almost surely, 2^105116331 is an apocalyptic number.

105116331 is a deficient number, since it is larger than the sum of its proper divisors (37683429).

105116331 is an equidigital number, since it uses as much as digits as its factorization.

105116331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661165.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 105116331 is about 10252.6255661660. The cubic root of 105116331 is about 471.9435604137.

Adding to 105116331 its reverse (133611501), we get a palindrome (238727832).

The spelling of 105116331 in words is "one hundred five million, one hundred sixteen thousand, three hundred thirty-one".