105902987 has 2 divisors, whose sum is σ = 105902988. Its totient is φ = 105902986.

The previous prime is 105902977. The next prime is 105902989. The reversal of 105902987 is 789209501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105902987 - 2¹⁰ = 105901963 is a prime.

It is a super-2 number, since 2×105902987² = 22430885311044338, which contains 22 as substring.

Together with 105902989, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105902989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52951493 + 52951494.

It is an arithmetic number, because the mean of its divisors is an integer number (52951494).

Almost surely, 2^105902987 is an apocalyptic number.

105902987 is a deficient number, since it is larger than the sum of its proper divisors (1).

105902987 is an equidigital number, since it uses as much as digits as its factorization.

105902987 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 105902987 is about 10290.9176947442. The cubic root of 105902987 is about 473.1179258017.

The spelling of 105902987 in words is "one hundred five million, nine hundred two thousand, nine hundred eighty-seven".