10005105104501 has 16 divisors (see below), whose sum is σ = 10785871079424. Its totient is φ = 9225932880384.

The previous prime is 10005105104459. The next prime is 10005105104539. The reversal of 10005105104501 is 10540150150001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005105104501 is a prime.

It is a super-2 number, since 2×10005105104501² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005105109501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141373541 + ... + 141444293.

It is an arithmetic number, because the mean of its divisors is an integer number (674116942464).

Almost surely, 2^{10005105104501} is an apocalyptic number.

It is an amenable number.

10005105104501 is a deficient number, since it is larger than the sum of its proper divisors (780765974923).

10005105104501 is a wasteful number, since it uses less digits than its factorization.

10005105104501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81860.

The product of its (nonzero) digits is 500, while the sum is 23.

Adding to 10005105104501 its reverse (10540150150001), we get a palindrome (20545255254502).

The spelling of 10005105104501 in words is "ten trillion, five billion, one hundred five million, one hundred four thousand, five hundred one".