11106110100 has 72 divisors (see below), whose sum is σ = 32176565568. Its totient is φ = 2957676800.

The previous prime is 11106110023. The next prime is 11106110101. The reversal of 11106110100 is 101160111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106110101) 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, 203977 + ... + 252623.

It is an arithmetic number, because the mean of its divisors is an integer number (446896744).

Almost surely, 2^11106110100 is an apocalyptic number.

11106110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088282784).

11106110100 is an abundant number, since it is smaller than the sum of its proper divisors (21070455468).

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

11106110100 is a wasteful number, since it uses less digits than its factorization.

11106110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49425 (or 49418 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11106110100 its reverse (101160111), we get a palindrome (11207270211).

The spelling of 11106110100 in words is "eleven billion, one hundred six million, one hundred ten thousand, one hundred".