100105111005105 has 16 divisors (see below), whose sum is σ = 160176396464640. Its totient is φ = 53386652917248.

The previous prime is 100105111005103. The next prime is 100105111005217. The reversal of 100105111005105 is 501500111501001.

It is not a de Polignac number, because 100105111005105 - 2¹ = 100105111005103 is a prime.

It is a super-2 number, since 2×100105111005105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105111005103) 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, 170924097 + ... + 171508766.

It is an arithmetic number, because the mean of its divisors is an integer number (10011024779040).

Almost surely, 2^{100105111005105} is an apocalyptic number.

100105111005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100105111005105 is a deficient number, since it is larger than the sum of its proper divisors (60071285459535).

100105111005105 is a wasteful number, since it uses less digits than its factorization.

100105111005105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342452360.

The product of its (nonzero) digits is 125, while the sum is 21.

Adding to 100105111005105 its reverse (501500111501001), we get a palindrome (601605222506106).

The spelling of 100105111005105 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, five thousand, one hundred five".