100005135 has 16 divisors (see below), whose sum is σ = 169420896. Its totient is φ = 50198528.

The previous prime is 100005131. The next prime is 100005149. The reversal of 100005135 is 531500001.

It is a cyclic number.

It is not a de Polignac number, because 100005135 - 2² = 100005131 is a prime.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195834 + ... + 196343.

It is an arithmetic number, because the mean of its divisors is an integer number (10588806).

Almost surely, 2^100005135 is an apocalyptic number.

100005135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100005135 is a deficient number, since it is larger than the sum of its proper divisors (69415761).

100005135 is a wasteful number, since it uses less digits than its factorization.

100005135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392202.

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

The square root of 100005135 is about 10000.2567467041. The cubic root of 100005135 is about 464.1668280782.

Adding to 100005135 its reverse (531500001), we get a palindrome (631505136).

The spelling of 100005135 in words is "one hundred million, five thousand, one hundred thirty-five".