10105001101005 has 32 divisors (see below), whose sum is σ = 16658367268608. Its totient is φ = 5226815462400.

The previous prime is 10105001101003. The next prime is 10105001101037. The reversal of 10105001101005 is 50010110050101.

It is not a de Polignac number, because 10105001101005 - 2¹ = 10105001101003 is a prime.

It is a super-2 number, since 2×10105001101005² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105001101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29099436 + ... + 29444645.

It is an arithmetic number, because the mean of its divisors is an integer number (520573977144).

Almost surely, 2^{10105001101005} is an apocalyptic number.

10105001101005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105001101005 is a deficient number, since it is larger than the sum of its proper divisors (6553366167603).

10105001101005 is a wasteful number, since it uses less digits than its factorization.

10105001101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58544437.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 10105001101005 its reverse (50010110050101), we get a palindrome (60115111151106).

The spelling of 10105001101005 in words is "ten trillion, one hundred five billion, one million, one hundred one thousand, five".