105680100003 has 32 divisors (see below), whose sum is σ = 147712087296. Its totient is φ = 67134307968.

The previous prime is 105680099989. The next prime is 105680100017. The reversal of 105680100003 is 300001086501.

It is an interprime number because it is at equal distance from previous prime (105680099989) and next prime (105680100017).

It is not a de Polignac number, because 105680100003 - 2¹⁸ = 105679837859 is a prime.

It is a super-2 number, since 2×105680100003² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105680101003) 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 31 ways as a sum of consecutive naturals, for example, 3296176 + ... + 3328082.

It is an arithmetic number, because the mean of its divisors is an integer number (4616002728).

Almost surely, 2^105680100003 is an apocalyptic number.

105680100003 is a deficient number, since it is larger than the sum of its proper divisors (42031987293).

105680100003 is a wasteful number, since it uses less digits than its factorization.

105680100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32563.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 105680100003 its reverse (300001086501), we get a palindrome (405681186504).

The spelling of 105680100003 in words is "one hundred five billion, six hundred eighty million, one hundred thousand, three".