11009700 has 108 divisors (see below), whose sum is σ = 37203348. Its totient is φ = 2707200.

The previous prime is 11009657. The next prime is 11009729. The reversal of 11009700 is 790011.

It can be written as a sum of positive squares in 6 ways, for example, as 820836 + 10188864 = 906^2 + 3192^2 .

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11230 + ... + 12170.

Almost surely, 2^11009700 is an apocalyptic number.

11009700 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 11009700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601674).

11009700 is an abundant number, since it is smaller than the sum of its proper divisors (26193648).

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

11009700 is a wasteful number, since it uses less digits than its factorization.

11009700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 11009700 is about 3318.0867981414. The cubic root of 11009700 is about 222.4633613871.

Adding to 11009700 its reverse (790011), we get a palindrome (11799711).

The spelling of 11009700 in words is "eleven million, nine thousand, seven hundred".