105011110510005 has 64 divisors (see below), whose sum is σ = 197398807216128. Its totient is φ = 46668731005440.

The previous prime is 105011110509979. The next prime is 105011110510027. The reversal of 105011110510005 is 500015011110501.

It is not a de Polignac number, because 105011110510005 - 2⁸ = 105011110509749 is a prime.

It is a super-2 number, since 2×105011110510005² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41878549 + ... + 44315178.

It is an arithmetic number, because the mean of its divisors is an integer number (3084356362752).

Almost surely, 2^{105011110510005} is an apocalyptic number.

105011110510005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105011110510005 is a deficient number, since it is larger than the sum of its proper divisors (92387696706123).

105011110510005 is a wasteful number, since it uses less digits than its factorization.

105011110510005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86194066.

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

Adding to 105011110510005 its reverse (500015011110501), we get a palindrome (605026121620506).

The spelling of 105011110510005 in words is "one hundred five trillion, eleven billion, one hundred ten million, five hundred ten thousand, five".