105116587 has 2 divisors, whose sum is σ = 105116588. Its totient is φ = 105116586.

The previous prime is 105116551. The next prime is 105116591. The reversal of 105116587 is 785611501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105116587 - 2¹¹ = 105114539 is a prime.

It is a super-2 number, since 2×105116587² = 22098993725057138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105116527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558293 + 52558294.

It is an arithmetic number, because the mean of its divisors is an integer number (52558294).

Almost surely, 2^105116587 is an apocalyptic number.

105116587 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116587 is an equidigital number, since it uses as much as digits as its factorization.

105116587 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 34.

The square root of 105116587 is about 10252.6380507653. The cubic root of 105116587 is about 471.9439435367.

The spelling of 105116587 in words is "one hundred five million, one hundred sixteen thousand, five hundred eighty-seven".