11106151110 has 64 divisors (see below), whose sum is σ = 29669976000. Its totient is φ = 2956283136.

The previous prime is 11106151093. The next prime is 11106151117. The reversal of 11106151110 is 1115160111.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106151117) by changing a digit.

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, 113466 + ... + 187314.

It is an arithmetic number, because the mean of its divisors is an integer number (463593375).

Almost surely, 2^11106151110 is an apocalyptic number.

11106151110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106151110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834988000).

11106151110 is an abundant number, since it is smaller than the sum of its proper divisors (18563824890).

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

11106151110 is a wasteful number, since it uses less digits than its factorization.

11106151110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74422 (or 74416 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Subtracting from 11106151110 its reverse (1115160111), we obtain a palindrome (9990990999).

The spelling of 11106151110 in words is "eleven billion, one hundred six million, one hundred fifty-one thousand, one hundred ten".