105072820 has 24 divisors (see below), whose sum is σ = 221362344. Its totient is φ = 41894016.

The previous prime is 105072811. The next prime is 105072841. The reversal of 105072820 is 28270501.

It can be written as a sum of positive squares in 4 ways, for example, as 2090916 + 102981904 = 1446^2 + 10148^2 .

It is a super-2 number, since 2×105072820² = 22080595005504800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1947 + ... + 14626.

It is an arithmetic number, because the mean of its divisors is an integer number (9223431).

Almost surely, 2^105072820 is an apocalyptic number.

105072820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105072820 is an abundant number, since it is smaller than the sum of its proper divisors (116289524).

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

105072820 is a wasteful number, since it uses less digits than its factorization.

105072820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16899 (or 16897 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 105072820 is about 10250.5034022725. The cubic root of 105072820 is about 471.8784339326.

The spelling of 105072820 in words is "one hundred five million, seventy-two thousand, eight hundred twenty".