100260013 has 16 divisors (see below), whose sum is σ = 120925440. Its totient is φ = 81265536.

The previous prime is 100260007. The next prime is 100260019. The reversal of 100260013 is 310062001.

It is an interprime number because it is at equal distance from previous prime (100260007) and next prime (100260019).

It is a cyclic number.

It is not a de Polignac number, because 100260013 - 2⁹ = 100259501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100259975 and 100260002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100260019) 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, 10831 + ... + 17827.

It is an arithmetic number, because the mean of its divisors is an integer number (7557840).

Almost surely, 2^100260013 is an apocalyptic number.

It is an amenable number.

100260013 is a deficient number, since it is larger than the sum of its proper divisors (20665427).

100260013 is an equidigital number, since it uses as much as digits as its factorization.

100260013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100260013 is about 10012.9922101238. The cubic root of 100260013 is about 464.5608263401.

The spelling of 100260013 in words is "one hundred million, two hundred sixty thousand, thirteen".