105627830 has 48 divisors (see below), whose sum is σ = 241290576. Its totient is φ = 32921280.

The previous prime is 105627829. The next prime is 105627833. The reversal of 105627830 is 38726501.

It is a happy number.

It is a super-2 number, since 2×105627830² = 22314476941017800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105627833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4409 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (5026887).

Almost surely, 2^105627830 is an apocalyptic number.

105627830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105627830 is an abundant number, since it is smaller than the sum of its proper divisors (135662746).

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

105627830 is a wasteful number, since it uses less digits than its factorization.

105627830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19629 (or 19622 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 105627830 is about 10277.5400753293. The cubic root of 105627830 is about 472.7078189614.

The spelling of 105627830 in words is "one hundred five million, six hundred twenty-seven thousand, eight hundred thirty".