105100106011 has 8 divisors (see below), whose sum is σ = 107598798000. Its totient is φ = 102625325280.

The previous prime is 105100106003. The next prime is 105100106017. The reversal of 105100106011 is 110601001501.

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

It is a cyclic number.

It is not a de Polignac number, because 105100106011 - 2³ = 105100106003 is a prime.

It is a super-2 number, since 2×105100106011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105100106017) 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, 5968920 + ... + 5986501.

It is an arithmetic number, because the mean of its divisors is an integer number (13449849750).

Almost surely, 2^105100106011 is an apocalyptic number.

105100106011 is a deficient number, since it is larger than the sum of its proper divisors (2498691989).

105100106011 is a wasteful number, since it uses less digits than its factorization.

105100106011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955629.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105100106011 its reverse (110601001501), we get a palindrome (215701107512).

The spelling of 105100106011 in words is "one hundred five billion, one hundred million, one hundred six thousand, eleven".