105100005611 has 12 divisors (see below), whose sum is σ = 110225528280. Its totient is φ = 100151946720.

The previous prime is 105100005587. The next prime is 105100005671. The reversal of 105100005611 is 116500001501.

It is a de Polignac number, because none of the positive numbers 2^k-105100005611 is a prime.

It is a super-2 number, since 2×105100005611² (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 (105100005671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617381 + ... + 768998.

It is an arithmetic number, because the mean of its divisors is an integer number (9185460690).

Almost surely, 2^105100005611 is an apocalyptic number.

105100005611 is a deficient number, since it is larger than the sum of its proper divisors (5125522669).

105100005611 is an equidigital number, since it uses as much as digits as its factorization.

105100005611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386506 (or 1386463 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 105100005611 in words is "one hundred five billion, one hundred million, five thousand, six hundred eleven".