10005135 has 16 divisors (see below), whose sum is σ = 18295296. Its totient is φ = 4573728.

The previous prime is 10005119. The next prime is 10005143. The reversal of 10005135 is 53150001.

10005135 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005135 - 2⁴ = 10005119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47539 + ... + 47748.

It is an arithmetic number, because the mean of its divisors is an integer number (1143456).

Almost surely, 2^10005135 is an apocalyptic number.

10005135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10005135 is a deficient number, since it is larger than the sum of its proper divisors (8290161).

10005135 is an equidigital number, since it uses as much as digits as its factorization.

10005135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95302.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 10005135 is about 3163.0894707548. The cubic root of 10005135 is about 215.4803394334.

Adding to 10005135 its reverse (53150001), we get a palindrome (63155136).

The spelling of 10005135 in words is "ten million, five thousand, one hundred thirty-five".