105827780 has 12 divisors (see below), whose sum is σ = 222238380. Its totient is φ = 42331104.

The previous prime is 105827779. The next prime is 105827783. The reversal of 105827780 is 87728501.

It can be written as a sum of positive squares in 2 ways, for example, as 68690944 + 37136836 = 8288^2 + 6094^2 .

It is a super-2 number, since 2×105827780² = 22399038039456800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105827783) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2645675 + ... + 2645714.

It is an arithmetic number, because the mean of its divisors is an integer number (18519865).

Almost surely, 2^105827780 is an apocalyptic number.

105827780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105827780 is an abundant number, since it is smaller than the sum of its proper divisors (116410600).

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

105827780 is a wasteful number, since it uses less digits than its factorization.

105827780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291398 (or 5291396 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 105827780 is about 10287.2629984851. The cubic root of 105827780 is about 473.0059043911.

The spelling of 105827780 in words is "one hundred five million, eight hundred twenty-seven thousand, seven hundred eighty".