105105800 has 24 divisors (see below), whose sum is σ = 244371450. Its totient is φ = 42042240.

The previous prime is 105105769. The next prime is 105105809. The reversal of 105105800 is 8501501.

It can be written as a sum of positive squares in 3 ways, for example, as 70930084 + 34175716 = 8422^2 + 5846^2 .

It is a super-2 number, since 2×105105800² = 22094458387280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105105809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 262565 + ... + 262964.

Almost surely, 2^105105800 is an apocalyptic number.

105105800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105800 is an abundant number, since it is smaller than the sum of its proper divisors (139265650).

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

105105800 is a wasteful number, since it uses less digits than its factorization.

105105800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525545 (or 525536 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 105105800 is about 10252.1119775391. Note that the first 3 decimals coincide. The cubic root of 105105800 is about 471.9277994513.

The spelling of 105105800 in words is "one hundred five million, one hundred five thousand, eight hundred".