105675887 has 2 divisors, whose sum is σ = 105675888. Its totient is φ = 105675886.

The previous prime is 105675833. The next prime is 105675917. The reversal of 105675887 is 788576501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105675887 - 2¹⁸ = 105413743 is a prime.

It is a super-2 number, since 2×105675887² = 22334786186473538, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105675487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52837943 + 52837944.

It is an arithmetic number, because the mean of its divisors is an integer number (52837944).

Almost surely, 2^105675887 is an apocalyptic number.

105675887 is a deficient number, since it is larger than the sum of its proper divisors (1).

105675887 is an equidigital number, since it uses as much as digits as its factorization.

105675887 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 470400, while the sum is 47.

The square root of 105675887 is about 10279.8777716469. The cubic root of 105675887 is about 472.7794966477.

The spelling of 105675887 in words is "one hundred five million, six hundred seventy-five thousand, eight hundred eighty-seven".