105016819 has 6 divisors (see below), whose sum is σ = 110591060. Its totient is φ = 99447300.

The previous prime is 105016799. The next prime is 105016823. The reversal of 105016819 is 918610501.

It is not a de Polignac number, because 105016819 - 2²⁵ = 71462387 is a prime.

It is a super-2 number, since 2×105016819² = 22057064545757522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105017819) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43494 + ... + 45844.

Almost surely, 2^105016819 is an apocalyptic number.

105016819 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105016819 is a deficient number, since it is larger than the sum of its proper divisors (5574241).

105016819 is an frugal number, since it uses more digits than its factorization.

105016819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 105016819 is about 10247.7714162641. The cubic root of 105016819 is about 471.7945861773.

The spelling of 105016819 in words is "one hundred five million, sixteen thousand, eight hundred nineteen".