105873885 has 48 divisors (see below), whose sum is σ = 204981504. Its totient is φ = 52114752.

The previous prime is 105873883. The next prime is 105873917. The reversal of 105873885 is 588378501.

It is a happy number.

It is not a de Polignac number, because 105873885 - 2¹ = 105873883 is a prime.

It is a super-2 number, since 2×105873885² = 22418559049986450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105873885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105873883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12444 + ... + 19146.

It is an arithmetic number, because the mean of its divisors is an integer number (4270448).

Almost surely, 2^105873885 is an apocalyptic number.

105873885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105873885 is a deficient number, since it is larger than the sum of its proper divisors (99107619).

105873885 is an equidigital number, since it uses as much as digits as its factorization.

105873885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 105873885 is about 10289.5036323430. The cubic root of 105873885 is about 473.0745844391.

The spelling of 105873885 in words is "one hundred five million, eight hundred seventy-three thousand, eight hundred eighty-five".