105831801124 has 81 divisors (see below), whose sum is σ = 227565298107. Its totient is φ = 42934168368.

The previous prime is 105831801121. The next prime is 105831801149. The reversal of 105831801124 is 421108138501.

The square root of 105831801124 is 325318.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×105831801124² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105831801124.

It is not an unprimeable number, because it can be changed into a prime (105831801121) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 86533977 + ... + 86535199.

Almost surely, 2^105831801124 is an apocalyptic number.

105831801124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105831801124 is the 325318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105831801124

105831801124 is an abundant number, since it is smaller than the sum of its proper divisors (121733496983).

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

105831801124 is an equidigital number, since it uses as much as digits as its factorization.

105831801124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

Adding to 105831801124 its reverse (421108138501), we get a palindrome (526939939625).

The spelling of 105831801124 in words is "one hundred five billion, eight hundred thirty-one million, eight hundred one thousand, one hundred twenty-four".