107100013 has 8 divisors (see below), whose sum is σ = 108062336. Its totient is φ = 106142400.

The previous prime is 107100011. The next prime is 107100023. The reversal of 107100013 is 310001701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107100013 - 2¹ = 107100011 is a prime.

It is a super-2 number, since 2×107100013² = 22940825569200338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107099966 and 107100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107100011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56245 + ... + 58117.

It is an arithmetic number, because the mean of its divisors is an integer number (13507792).

Almost surely, 2^107100013 is an apocalyptic number.

It is an amenable number.

107100013 is a deficient number, since it is larger than the sum of its proper divisors (962323).

107100013 is a wasteful number, since it uses less digits than its factorization.

107100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 107100013 is about 10348.9136144815. The cubic root of 107100013 is about 474.8938089487.

Adding to 107100013 its reverse (310001701), we get a palindrome (417101714).

The spelling of 107100013 in words is "one hundred seven million, one hundred thousand, thirteen".