11945100 has 72 divisors (see below), whose sum is σ = 35778960. Its totient is φ = 3073280.

The previous prime is 11945093. The next prime is 11945107. The reversal of 11945100 is 154911.

It is an interprime number because it is at equal distance from previous prime (11945093) and next prime (11945107).

It is not an unprimeable number, because it can be changed into a prime (11945107) 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, 8014 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (496930).

Almost surely, 2^11945100 is an apocalyptic number.

11945100 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 11945100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889480).

11945100 is an abundant number, since it is smaller than the sum of its proper divisors (23833860).

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

11945100 is a wasteful number, since it uses less digits than its factorization.

11945100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11945100 is about 3456.1683986750. The cubic root of 11945100 is about 228.5931768741.

The spelling of 11945100 in words is "eleven million, nine hundred forty-five thousand, one hundred".