105516041 has 2 divisors, whose sum is σ = 105516042. Its totient is φ = 105516040.

The previous prime is 105515983. The next prime is 105516067. The reversal of 105516041 is 140615501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104632441 + 883600 = 10229^2 + 940^2 .

It is a cyclic number.

It is not a de Polignac number, because 105516041 - 2¹⁴ = 105499657 is a prime.

It is a super-2 number, since 2×105516041² = 22267269816627362, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105515998 and 105516016.

It is not a weakly prime, because it can be changed into another prime (105516071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52758020 + 52758021.

It is an arithmetic number, because the mean of its divisors is an integer number (52758021).

Almost surely, 2^105516041 is an apocalyptic number.

It is an amenable number.

105516041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105516041 is an equidigital number, since it uses as much as digits as its factorization.

105516041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 105516041 is about 10272.1001260696. The cubic root of 105516041 is about 472.5409999602.

The spelling of 105516041 in words is "one hundred five million, five hundred sixteen thousand, forty-one".