105135424 has 14 divisors (see below), whose sum is σ = 208628234. Its totient is φ = 52567680.

The previous prime is 105135409. The next prime is 105135427. The reversal of 105135424 is 424531501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100641024 + 4494400 = 10032^2 + 2120^2 .

It is a super-2 number, since 2×105135424² = 22106914759319552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105135427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 821307 + ... + 821434.

Almost surely, 2^105135424 is an apocalyptic number.

It is an amenable number.

105135424 is a deficient number, since it is larger than the sum of its proper divisors (103492810).

105135424 is an equidigital number, since it uses as much as digits as its factorization.

105135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642753 (or 1642743 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105135424 is about 10253.5566512308. The cubic root of 105135424 is about 471.9721327989.

Adding to 105135424 its reverse (424531501), we get a palindrome (529666925).

The spelling of 105135424 in words is "one hundred five million, one hundred thirty-five thousand, four hundred twenty-four".