105125424 has 40 divisors (see below), whose sum is σ = 272274240. Its totient is φ = 34951488.

The previous prime is 105125413. The next prime is 105125429. The reversal of 105125424 is 424521501.

It is a super-2 number, since 2×105125424² = 22102709542359552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105125394 and 105125403.

It is not an unprimeable number, because it can be changed into a prime (105125429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17499 + ... + 22725.

It is an arithmetic number, because the mean of its divisors is an integer number (6806856).

Almost surely, 2^105125424 is an apocalyptic number.

It is an amenable number.

105125424 is an abundant number, since it is smaller than the sum of its proper divisors (167148816).

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

105125424 is a wasteful number, since it uses less digits than its factorization.

105125424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105125424 is about 10253.0690039617. The cubic root of 105125424 is about 471.9571683819.

Adding to 105125424 its reverse (424521501), we get a palindrome (529646925).

The spelling of 105125424 in words is "one hundred five million, one hundred twenty-five thousand, four hundred twenty-four".