11006106100110 has 96 divisors (see below), whose sum is σ = 32061030554592. Its totient is φ = 2596034845440.

The previous prime is 11006106099953. The next prime is 11006106100201. The reversal of 11006106100110 is 1100160160011.

It is a super-2 number, since 2×11006106100110² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150196869 + ... + 150270128.

It is an arithmetic number, because the mean of its divisors is an integer number (333969068277).

Almost surely, 2^{11006106100110} is an apocalyptic number.

11006106100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11006106100110 is an abundant number, since it is smaller than the sum of its proper divisors (21054924454482).

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

11006106100110 is a wasteful number, since it uses less digits than its factorization.

11006106100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300467058 (or 300467055 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11006106100110 its reverse (1100160160011), we get a palindrome (12106266260121).

The spelling of 11006106100110 in words is "eleven trillion, six billion, one hundred six million, one hundred thousand, one hundred ten".