105061010005005 has 16 divisors (see below), whose sum is σ = 170225433934080. Its totient is φ = 55323266027328.

The previous prime is 105061010004961. The next prime is 105061010005057. The reversal of 105061010005005 is 500500010160501.

It is not a de Polignac number, because 105061010005005 - 2⁴⁰ = 103961498377229 is a prime.

It is a super-2 number, since 2×105061010005005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44329538902 + ... + 44329541271.

It is an arithmetic number, because the mean of its divisors is an integer number (10639089620880).

Almost surely, 2^{105061010005005} is an apocalyptic number.

105061010005005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105061010005005 is a deficient number, since it is larger than the sum of its proper divisors (65164423929075).

105061010005005 is an equidigital number, since it uses as much as digits as its factorization.

105061010005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88659080260.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105061010005005 its reverse (500500010160501), we get a palindrome (605561020165506).

The spelling of 105061010005005 in words is "one hundred five trillion, sixty-one billion, ten million, five thousand, five".