105001100105011 has 24 divisors (see below), whose sum is σ = 120412437485760. Its totient is φ = 90795218038800.

The previous prime is 105001100105009. The next prime is 105001100105029. The reversal of 105001100105011 is 110501001100501.

It is not a de Polignac number, because 105001100105011 - 2¹ = 105001100105009 is a prime.

It is a super-4 number, since 4×105001100105011⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105001100105071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49362105 + ... + 51445306.

It is an arithmetic number, because the mean of its divisors is an integer number (5017184895240).

Almost surely, 2^{105001100105011} is an apocalyptic number.

105001100105011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105001100105011 is a deficient number, since it is larger than the sum of its proper divisors (15411337380749).

105001100105011 is a wasteful number, since it uses less digits than its factorization.

105001100105011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100807647 (or 100807624 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 105001100105011 its reverse (110501001100501), we get a palindrome (215502101205512).

The spelling of 105001100105011 in words is "one hundred five trillion, one billion, one hundred million, one hundred five thousand, eleven".