11006187090 has 64 divisors (see below), whose sum is σ = 28110893184. Its totient is φ = 2748290048.

The previous prime is 11006187089. The next prime is 11006187091. The reversal of 11006187090 is 9078160011.

It is an interprime number because it is at equal distance from previous prime (11006187089) and next prime (11006187091).

It is a super-2 number, since 2×11006187090² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006187091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45697 + ... + 155243.

It is an arithmetic number, because the mean of its divisors is an integer number (439232706).

Almost surely, 2^11006187090 is an apocalyptic number.

11006187090 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 11006187090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055446592).

11006187090 is an abundant number, since it is smaller than the sum of its proper divisors (17104706094).

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

11006187090 is a wasteful number, since it uses less digits than its factorization.

11006187090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109771.

The product of its (nonzero) digits is 3024, while the sum is 33.

The spelling of 11006187090 in words is "eleven billion, six million, one hundred eighty-seven thousand, ninety".