105236124 has 36 divisors (see below), whose sum is σ = 285642504. Its totient is φ = 30067296.

The previous prime is 105236123. The next prime is 105236141. The reversal of 105236124 is 421632501.

It is a super-2 number, since 2×105236124² = 22149283589086752, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105236094 and 105236103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105236123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88899 + ... + 90074.

It is an arithmetic number, because the mean of its divisors is an integer number (7934514).

Almost surely, 2^105236124 is an apocalyptic number.

105236124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105236124 is an abundant number, since it is smaller than the sum of its proper divisors (180406380).

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

105236124 is a wasteful number, since it uses less digits than its factorization.

105236124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178994 (or 178985 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105236124 is about 10258.4659671902. The cubic root of 105236124 is about 472.1227716158.

Adding to 105236124 its reverse (421632501), we get a palindrome (526868625).

The spelling of 105236124 in words is "one hundred five million, two hundred thirty-six thousand, one hundred twenty-four".