105315124 has 36 divisors (see below), whose sum is σ = 194726700. Its totient is φ = 49772800.

The previous prime is 105315121. The next prime is 105315139. The reversal of 105315124 is 421513501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18490000 + 86825124 = 4300^2 + 9318^2 .

It is a super-2 number, since 2×105315124² = 22182550686270752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105315095 and 105315104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105315121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042674 + ... + 1042774.

It is an arithmetic number, because the mean of its divisors is an integer number (5409075).

Almost surely, 2^105315124 is an apocalyptic number.

It is an amenable number.

105315124 is a deficient number, since it is larger than the sum of its proper divisors (89411576).

105315124 is a wasteful number, since it uses less digits than its factorization.

105315124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105315124 is about 10262.3157230715. The cubic root of 105315124 is about 472.2408817868.

Adding to 105315124 its reverse (421513501), we get a palindrome (526828625).

The spelling of 105315124 in words is "one hundred five million, three hundred fifteen thousand, one hundred twenty-four".