105705800 has 36 divisors (see below), whose sum is σ = 246104505. Its totient is φ = 42224160.

The previous prime is 105705799. The next prime is 105705811. The reversal of 105705800 is 8507501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 103591684 + 2114116 = 10178^2 + 1454^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7270.

It is a super-2 number, since 2×105705800² = 22347432307280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105705800.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145037 + ... + 145763.

Almost surely, 2^105705800 is an apocalyptic number.

105705800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105705800 is an abundant number, since it is smaller than the sum of its proper divisors (140398705).

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

105705800 is an frugal number, since it uses more digits than its factorization.

105705800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 105705800 is about 10281.3325984524. The cubic root of 105705800 is about 472.8241013326.

The spelling of 105705800 in words is "one hundred five million, seven hundred five thousand, eight hundred".