105827783810 has 24 divisors (see below), whose sum is σ = 221590421820. Its totient is φ = 36283811424.

The previous prime is 105827783807. The next prime is 105827783843. The reversal of 105827783810 is 18387728501.

It can be written as a sum of positive squares in 2 ways, for example, as 99723955681 + 6103828129 = 315791^2 + 78127^2 .

It is a super-2 number, since 2×105827783810² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107987045 + ... + 107988024.

Almost surely, 2^105827783810 is an apocalyptic number.

105827783810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105827783810 is an abundant number, since it is smaller than the sum of its proper divisors (115762638010).

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

105827783810 is a wasteful number, since it uses less digits than its factorization.

105827783810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215975090 (or 215975083 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 50.

The spelling of 105827783810 in words is "one hundred five billion, eight hundred twenty-seven million, seven hundred eighty-three thousand, eight hundred ten".