9440100 has 108 divisors (see below), whose sum is σ = 31380804. Its totient is φ = 2365440.

The previous prime is 9440087. The next prime is 9440111. The reversal of 9440100 is 10449.

It can be written as a sum of positive squares in 6 ways, for example, as 831744 + 8608356 = 912^2 + 2934^2 .

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

It is a zygodrome in base 8.

It is a congruent number.

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, 14992 + ... + 15608.

It is an arithmetic number, because the mean of its divisors is an integer number (290563).

Almost surely, 2^9440100 is an apocalyptic number.

9440100 is a gapful number since it is divisible by the number (90) 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 9440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15690402).

9440100 is an abundant number, since it is smaller than the sum of its proper divisors (21940704).

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

9440100 is a wasteful number, since it uses less digits than its factorization.

9440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9440100 is about 3072.4745727182. The cubic root of 9440100 is about 211.3451073216.

Adding to 9440100 its reverse (10449), we get a palindrome (9450549).

The spelling of 9440100 in words is "nine million, four hundred forty thousand, one hundred".