11005105060 has 24 divisors (see below), whose sum is σ = 23123714040. Its totient is φ = 4399567104.

The previous prime is 11005105003. The next prime is 11005105061. The reversal of 11005105060 is 6050150011.

It can be written as a sum of positive squares in 4 ways, for example, as 1876449124 + 9128655936 = 43318^2 + 95544^2 .

It is a super-2 number, since 2×11005105060² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005105061) 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, 118009 + ... + 189568.

It is an arithmetic number, because the mean of its divisors is an integer number (963488085).

Almost surely, 2^11005105060 is an apocalyptic number.

11005105060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11005105060 is an abundant number, since it is smaller than the sum of its proper divisors (12118608980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11005105060 is a wasteful number, since it uses less digits than its factorization.

11005105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309375 (or 309373 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 11005105060 its reverse (6050150011), we get a palindrome (17055255071).

The spelling of 11005105060 in words is "eleven billion, five million, one hundred five thousand, sixty".