105412787 has 2 divisors, whose sum is σ = 105412788. Its totient is φ = 105412786.

The previous prime is 105412759. The next prime is 105412789. The reversal of 105412787 is 787214501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105412787 - 2¹² = 105408691 is a prime.

It is a super-2 number, since 2×105412787² = 22223711326214738, which contains 22 as substring.

Together with 105412789, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (105412789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706393 + 52706394.

It is an arithmetic number, because the mean of its divisors is an integer number (52706394).

Almost surely, 2^105412787 is an apocalyptic number.

105412787 is a deficient number, since it is larger than the sum of its proper divisors (1).

105412787 is an equidigital number, since it uses as much as digits as its factorization.

105412787 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 105412787 is about 10267.0729519177. The cubic root of 105412787 is about 472.3868127490.

The spelling of 105412787 in words is "one hundred five million, four hundred twelve thousand, seven hundred eighty-seven".