105135411 has 24 divisors (see below), whose sum is σ = 148735440. Its totient is φ = 65956800.

The previous prime is 105135409. The next prime is 105135427. The reversal of 105135411 is 114531501.

It is a happy number.

It is not a de Polignac number, because 105135411 - 2¹ = 105135409 is a prime.

It is a super-2 number, since 2×105135411² = 22106909292277842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105135011) 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 23 ways as a sum of consecutive naturals, for example, 696186 + ... + 696336.

It is an arithmetic number, because the mean of its divisors is an integer number (6197310).

Almost surely, 2^105135411 is an apocalyptic number.

105135411 is a deficient number, since it is larger than the sum of its proper divisors (43600029).

105135411 is an equidigital number, since it uses as much as digits as its factorization.

105135411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105135411 is about 10253.5560173044. The cubic root of 105135411 is about 471.9721133457.

Adding to 105135411 its reverse (114531501), we get a palindrome (219666912).

The spelling of 105135411 in words is "one hundred five million, one hundred thirty-five thousand, four hundred eleven".