11106100600338 has 48 divisors (see below), whose sum is σ = 23680844011584. Its totient is φ = 3471688124160.

The previous prime is 11106100600333. The next prime is 11106100600379. The reversal of 11106100600338 is 83300600160111.

11106100600338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11106100600338³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11106100600333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11080878 + ... + 12041513.

It is an arithmetic number, because the mean of its divisors is an integer number (493350916908).

Almost surely, 2^{11106100600338} is an apocalyptic number.

11106100600338 is an abundant number, since it is smaller than the sum of its proper divisors (12574743411246).

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

11106100600338 is a wasteful number, since it uses less digits than its factorization.

11106100600338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23122707 (or 23122690 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 11106100600338 its reverse (83300600160111), we get a palindrome (94406700760449).

The spelling of 11106100600338 in words is "eleven trillion, one hundred six billion, one hundred million, six hundred thousand, three hundred thirty-eight".