105410820 has 48 divisors (see below), whose sum is σ = 295622208. Its totient is φ = 28064640.

The previous prime is 105410813. The next prime is 105410821. The reversal of 105410820 is 28014501.

It is a super-2 number, since 2×105410820² = 22222881946144800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105410821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55527 + ... + 57393.

It is an arithmetic number, because the mean of its divisors is an integer number (6158796).

Almost surely, 2^105410820 is an apocalyptic number.

105410820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105410820 is an abundant number, since it is smaller than the sum of its proper divisors (190211388).

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

105410820 is a wasteful number, since it uses less digits than its factorization.

105410820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105410820 is about 10266.9771598071. The cubic root of 105410820 is about 472.3838744886.

The spelling of 105410820 in words is "one hundred five million, four hundred ten thousand, eight hundred twenty".