105663005 has 16 divisors (see below), whose sum is σ = 145876224. Its totient is φ = 71971200.

The previous prime is 105662993. The next prime is 105663017. The reversal of 105663005 is 500366501.

It is an interprime number because it is at equal distance from previous prime (105662993) and next prime (105663017).

It is not a de Polignac number, because 105663005 - 2⁶ = 105662941 is a prime.

It is a super-2 number, since 2×105663005² = 22329341251260050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4712 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (9117264).

Almost surely, 2^105663005 is an apocalyptic number.

It is an amenable number.

105663005 is a deficient number, since it is larger than the sum of its proper divisors (40213219).

105663005 is a wasteful number, since it uses less digits than its factorization.

105663005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20156.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 105663005 is about 10279.2511886810. The cubic root of 105663005 is about 472.7602850971.

The spelling of 105663005 in words is "one hundred five million, six hundred sixty-three thousand, five".