11007108 has 72 divisors (see below), whose sum is σ = 32847360. Its totient is φ = 3041280.

The previous prime is 11007107. The next prime is 11007119. The reversal of 11007108 is 80170011.

11007108 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11007107) 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, 7108 + ... + 8516.

Almost surely, 2^11007108 is an apocalyptic number.

11007108 is a gapful number since it is divisible by the number (18) 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 11007108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16423680).

11007108 is an abundant number, since it is smaller than the sum of its proper divisors (21840252).

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

11007108 is a wasteful number, since it uses less digits than its factorization.

11007108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 11007108 is about 3317.6961886225. The cubic root of 11007108 is about 222.4459019259.

Adding to 11007108 its reverse (80170011), we get a palindrome (91177119).

The spelling of 11007108 in words is "eleven million, seven thousand, one hundred eight".