100540013 has 12 divisors (see below), whose sum is σ = 120989340. Its totient is φ = 83204352.

The previous prime is 100540009. The next prime is 100540019. The reversal of 100540013 is 310045001.

It can be written as a sum of positive squares in 2 ways, for example, as 36747844 + 63792169 = 6062^2 + 7987^2 .

It is not a de Polignac number, because 100540013 - 2² = 100540009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100540013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100540019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33956 + ... + 36797.

It is an arithmetic number, because the mean of its divisors is an integer number (10082445).

Almost surely, 2^100540013 is an apocalyptic number.

It is an amenable number.

100540013 is a deficient number, since it is larger than the sum of its proper divisors (20449327).

100540013 is an equidigital number, since it uses as much as digits as its factorization.

100540013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70796 (or 70789 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 100540013 is about 10026.9642963362. The cubic root of 100540013 is about 464.9928900135.

Adding to 100540013 its reverse (310045001), we get a palindrome (410585014).

The spelling of 100540013 in words is "one hundred million, five hundred forty thousand, thirteen".