105781005 has 32 divisors (see below), whose sum is σ = 205153920. Its totient is φ = 51287040.

The previous prime is 105780977. The next prime is 105781033. The reversal of 105781005 is 500187501.

It is an interprime number because it is at equal distance from previous prime (105780977) and next prime (105781033).

It is not a de Polignac number, because 105781005 - 2¹⁰ = 105779981 is a prime.

It is a super-2 number, since 2×105781005² = 22379242037620050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105781005.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 34132 + ... + 37101.

It is an arithmetic number, because the mean of its divisors is an integer number (6411060).

Almost surely, 2^105781005 is an apocalyptic number.

105781005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105781005 is a deficient number, since it is larger than the sum of its proper divisors (99372915).

105781005 is a wasteful number, since it uses less digits than its factorization.

105781005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71258 (or 71252 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 105781005 is about 10284.9893048073. The cubic root of 105781005 is about 472.9362058940.

The spelling of 105781005 in words is "one hundred five million, seven hundred eighty-one thousand, five".