105010010611 has 8 divisors (see below), whose sum is σ = 117350433648. Its totient is φ = 93135264000.

The previous prime is 105010010587. The next prime is 105010010617. The reversal of 105010010611 is 116010010501.

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 105010010611 - 2¹¹ = 105010008563 is a prime.

It is a super-2 number, since 2×105010010611² (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 (105010010617) 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, 116418630 + ... + 116419531.

It is an arithmetic number, because the mean of its divisors is an integer number (14668804206).

Almost surely, 2^105010010611 is an apocalyptic number.

105010010611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105010010611 is a deficient number, since it is larger than the sum of its proper divisors (12340423037).

105010010611 is a wasteful number, since it uses less digits than its factorization.

105010010611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232838213.

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

The spelling of 105010010611 in words is "one hundred five billion, ten million, ten thousand, six hundred eleven".