11100505105004 has 96 divisors (see below), whose sum is σ = 22705914276864. Its totient is φ = 4650438723840.

The previous prime is 11100505104967. The next prime is 11100505105049. The reversal of 11100505105004 is 40050150500111.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 145720094 + ... + 145796250.

It is an arithmetic number, because the mean of its divisors is an integer number (236519940384).

Almost surely, 2^{11100505105004} is an apocalyptic number.

11100505105004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11100505105004 is an abundant number, since it is smaller than the sum of its proper divisors (11605409171860).

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

11100505105004 is a wasteful number, since it uses less digits than its factorization.

11100505105004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76863 (or 76861 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 23.

Adding to 11100505105004 its reverse (40050150500111), we get a palindrome (51150655605115).

The spelling of 11100505105004 in words is "eleven trillion, one hundred billion, five hundred five million, one hundred five thousand, four".