105103867 has 18 divisors (see below), whose sum is σ = 117850236. Its totient is φ = 93661920.

The previous prime is 105103849. The next prime is 105103879. The reversal of 105103867 is 768301501.

It is not a de Polignac number, because 105103867 - 2²³ = 96715259 is a prime.

It is a super-2 number, since 2×105103867² = 22093645716707378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105103837) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 644728 + ... + 644890.

Almost surely, 2^105103867 is an apocalyptic number.

105103867 is a deficient number, since it is larger than the sum of its proper divisors (12746369).

105103867 is an equidigital number, since it uses as much as digits as its factorization.

105103867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 105103867 is about 10252.0177038474. The cubic root of 105103867 is about 471.9249063600.

The spelling of 105103867 in words is "one hundred five million, one hundred three thousand, eight hundred sixty-seven".