100005507 has 12 divisors (see below), whose sum is σ = 165088560. Its totient is φ = 57145968.

The previous prime is 100005469. The next prime is 100005523. The reversal of 100005507 is 705500001.

It is a happy number.

It is not a de Polignac number, because 100005507 - 2⁶ = 100005443 is a prime.

It is a super-2 number, since 2×100005507² = 20002202860654098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100005507.

It is not an unprimeable number, because it can be changed into a prime (100005527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793632 + ... + 793757.

It is an arithmetic number, because the mean of its divisors is an integer number (13757380).

Almost surely, 2^100005507 is an apocalyptic number.

100005507 is a deficient number, since it is larger than the sum of its proper divisors (65083053).

100005507 is a wasteful number, since it uses less digits than its factorization.

100005507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587402 (or 1587399 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 100005507 is about 10000.2753462092. The cubic root of 100005507 is about 464.1674036148.

Adding to 100005507 its reverse (705500001), we get a palindrome (805505508).

The spelling of 100005507 in words is "one hundred million, five thousand, five hundred seven".