105111001005 has 16 divisors (see below), whose sum is σ = 172722943104. Its totient is φ = 54544086720.

The previous prime is 105111000989. The next prime is 105111001013. The reversal of 105111001005 is 500100111501.

It is not a de Polignac number, because 105111001005 - 2⁴ = 105111000989 is a prime.

It is a super-2 number, since 2×105111001005² (a number of 23 digits) contains 22 as substring.

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

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, 94694041 + ... + 94695150.

It is an arithmetic number, because the mean of its divisors is an integer number (10795183944).

Almost surely, 2^105111001005 is an apocalyptic number.

105111001005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105111001005 is a deficient number, since it is larger than the sum of its proper divisors (67611942099).

105111001005 is a wasteful number, since it uses less digits than its factorization.

105111001005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189389236.

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

Adding to 105111001005 its reverse (500100111501), we get a palindrome (605211112506).

The spelling of 105111001005 in words is "one hundred five billion, one hundred eleven million, one thousand, five".