11730100 has 36 divisors (see below), whose sum is σ = 26084268. Its totient is φ = 4576000.

The previous prime is 11730097. The next prime is 11730107. The reversal of 11730100 is 103711.

It can be written as a sum of positive squares in 6 ways, for example, as 1731856 + 9998244 = 1316^2 + 3162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2670 + ... + 5530.

It is an arithmetic number, because the mean of its divisors is an integer number (724563).

Almost surely, 2^11730100 is an apocalyptic number.

11730100 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 11730100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13042134).

11730100 is an abundant number, since it is smaller than the sum of its proper divisors (14354168).

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

11730100 is a wasteful number, since it uses less digits than its factorization.

11730100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 11730100 is about 3424.9233568067. The cubic root of 11730100 is about 227.2133813533.

Adding to 11730100 its reverse (103711), we get a palindrome (11833811).

The spelling of 11730100 in words is "eleven million, seven hundred thirty thousand, one hundred".