105516601 has 2 divisors, whose sum is σ = 105516602. Its totient is φ = 105516600.

The previous prime is 105516589. The next prime is 105516629. The reversal of 105516601 is 106615501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 249001 = 10260^2 + 499^2 .

It is a cyclic number.

It is not a de Polignac number, because 105516601 - 2⁷ = 105516473 is a prime.

It is a super-2 number, since 2×105516601² = 22267506173186402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105516401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52758300 + 52758301.

It is an arithmetic number, because the mean of its divisors is an integer number (52758301).

Almost surely, 2^105516601 is an apocalyptic number.

It is an amenable number.

105516601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105516601 is an equidigital number, since it uses as much as digits as its factorization.

105516601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105516601 is about 10272.1273843348. The cubic root of 105516601 is about 472.5418359232.

The spelling of 105516601 in words is "one hundred five million, five hundred sixteen thousand, six hundred one".