100542013 has 16 divisors (see below), whose sum is σ = 118440000. Its totient is φ = 84142080.

The previous prime is 100542011. The next prime is 100542019. The reversal of 100542013 is 310245001.

It is not a de Polignac number, because 100542013 - 2¹ = 100542011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100542011) 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 15 ways as a sum of consecutive naturals, for example, 70653 + ... + 72061.

It is an arithmetic number, because the mean of its divisors is an integer number (7402500).

Almost surely, 2^100542013 is an apocalyptic number.

100542013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100542013 is a deficient number, since it is larger than the sum of its proper divisors (17897987).

100542013 is a wasteful number, since it uses less digits than its factorization.

100542013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100542013 is about 10027.0640269223. The cubic root of 100542013 is about 464.9959732954.

Adding to 100542013 its reverse (310245001), we get a palindrome (410787014).

The spelling of 100542013 in words is "one hundred million, five hundred forty-two thousand, thirteen".