105101111005 has 8 divisors (see below), whose sum is σ = 137586909024. Its totient is φ = 76437171600.

The previous prime is 105101110993. The next prime is 105101111009. The reversal of 105101111005 is 500111101501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105101111005 - 2⁵ = 105101110973 is a prime.

It is a super-2 number, since 2×105101111005² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105101111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101111009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955464591 + ... + 955464700.

It is an arithmetic number, because the mean of its divisors is an integer number (17198363628).

Almost surely, 2^105101111005 is an apocalyptic number.

It is an amenable number.

105101111005 is a deficient number, since it is larger than the sum of its proper divisors (32485798019).

105101111005 is a wasteful number, since it uses less digits than its factorization.

105101111005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910929307.

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

Adding to 105101111005 its reverse (500111101501), we get a palindrome (605212212506).

It can be divided in two parts, 10 and 5101111005, that added together give a palindrome (5101111015).

The spelling of 105101111005 in words is "one hundred five billion, one hundred one million, one hundred eleven thousand, five".