105485810 has 16 divisors (see below), whose sum is σ = 189999000. Its totient is φ = 42166656.

The previous prime is 105485801. The next prime is 105485827. The reversal of 105485810 is 18584501.

It can be written as a sum of positive squares in 4 ways, for example, as 86918329 + 18567481 = 9323^2 + 4309^2 .

It is a super-2 number, since 2×105485810² = 22254512222712200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20366 + ... + 25014.

Almost surely, 2^105485810 is an apocalyptic number.

105485810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105485810 is a deficient number, since it is larger than the sum of its proper divisors (84513190).

105485810 is a wasteful number, since it uses less digits than its factorization.

105485810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925.

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 105485810 is about 10270.6285104661. The cubic root of 105485810 is about 472.4958670075.

It can be divided in two parts, 105 and 485810, that multiplied together give a triangular number (51010050 = T₁₀₁₀₀).

The spelling of 105485810 in words is "one hundred five million, four hundred eighty-five thousand, eight hundred ten".