105820120 has 64 divisors (see below), whose sum is σ = 286444800. Its totient is φ = 34369920.

The previous prime is 105820109. The next prime is 105820123. The reversal of 105820120 is 21028501.

It is a super-2 number, since 2×105820120² = 22395795593628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820123) 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, 4626 + ... + 15265.

It is an arithmetic number, because the mean of its divisors is an integer number (4475700).

Almost surely, 2^105820120 is an apocalyptic number.

105820120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105820120 is an abundant number, since it is smaller than the sum of its proper divisors (180624680).

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

105820120 is a wasteful number, since it uses less digits than its factorization.

105820120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19928 (or 19924 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 105820120 is about 10286.8906866944. The cubic root of 105820120 is about 472.9944917839.

Adding to 105820120 its reverse (21028501), we get a palindrome (126848621).

The spelling of 105820120 in words is "one hundred five million, eight hundred twenty thousand, one hundred twenty".