105753820 has 12 divisors (see below), whose sum is σ = 222083064. Its totient is φ = 42301520.

The previous prime is 105753799. The next prime is 105753827. The reversal of 105753820 is 28357501.

It is a super-2 number, since 2×105753820² = 22367740889184800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105753827) 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, 2643826 + ... + 2643865.

It is an arithmetic number, because the mean of its divisors is an integer number (18506922).

Almost surely, 2^105753820 is an apocalyptic number.

105753820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105753820 is an abundant number, since it is smaller than the sum of its proper divisors (116329244).

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

105753820 is a wasteful number, since it uses less digits than its factorization.

105753820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287700 (or 5287698 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 105753820 is about 10283.6676336801. The cubic root of 105753820 is about 472.8956886251.

The spelling of 105753820 in words is "one hundred five million, seven hundred fifty-three thousand, eight hundred twenty".