105813890 has 32 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 33488064.

The previous prime is 105813887. The next prime is 105813901. The reversal of 105813890 is 98318501.

It is a super-2 number, since 2×105813890² = 22393158633864200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105813890.

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 15 ways as a sum of consecutive naturals, for example, 57230 + ... + 59049.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^105813890 is an apocalyptic number.

105813890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105813890 is an abundant number, since it is smaller than the sum of its proper divisors (128606590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105813890 is a wasteful number, since it uses less digits than its factorization.

105813890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116306.

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 105813890 is about 10286.5878696485. The cubic root of 105813890 is about 472.9852093226.

The spelling of 105813890 in words is "one hundred five million, eight hundred thirteen thousand, eight hundred ninety".