105306124 has 48 divisors (see below), whose sum is σ = 234130176. Its totient is φ = 40248000.

The previous prime is 105306119. The next prime is 105306127. The reversal of 105306124 is 421603501.

It is a super-3 number, since 3×105306124³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 105306095 and 105306104.

It is not an unprimeable number, because it can be changed into a prime (105306127) 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 15 ways as a sum of consecutive naturals, for example, 13099 + ... + 19549.

It is an arithmetic number, because the mean of its divisors is an integer number (4877712).

Almost surely, 2^105306124 is an apocalyptic number.

105306124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105306124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117065088).

105306124 is an abundant number, since it is smaller than the sum of its proper divisors (128824052).

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

105306124 is a wasteful number, since it uses less digits than its factorization.

105306124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105306124 is about 10261.8772161822. The cubic root of 105306124 is about 472.2274291795.

Adding to 105306124 its reverse (421603501), we get a palindrome (526909625).

The spelling of 105306124 in words is "one hundred five million, three hundred six thousand, one hundred twenty-four".