100513105 has 32 divisors (see below), whose sum is σ = 156930048. Its totient is φ = 59928000.

The previous prime is 100513073. The next prime is 100513111. The reversal of 100513105 is 501315001.

It is not a de Polignac number, because 100513105 - 2⁵ = 100513073 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3180 + ... + 14530.

It is an arithmetic number, because the mean of its divisors is an integer number (4904064).

Almost surely, 2^100513105 is an apocalyptic number.

It is an amenable number.

100513105 is a deficient number, since it is larger than the sum of its proper divisors (56416943).

100513105 is a wasteful number, since it uses less digits than its factorization.

100513105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 100513105 is about 10025.6224245680. The cubic root of 100513105 is about 464.9514035621.

Adding to 100513105 its reverse (501315001), we get a palindrome (601828106).

The spelling of 100513105 in words is "one hundred million, five hundred thirteen thousand, one hundred five".