10044100 has 72 divisors (see below), whose sum is σ = 24873408. Its totient is φ = 3484800.

The previous prime is 10044091. The next prime is 10044107. The reversal of 10044100 is 144001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10044107) 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, 25102 + ... + 25498.

It is an arithmetic number, because the mean of its divisors is an integer number (345464).

Almost surely, 2^10044100 is an apocalyptic number.

10044100 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 10044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436704).

10044100 is an abundant number, since it is smaller than the sum of its proper divisors (14829308).

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

10044100 is a wasteful number, since it uses less digits than its factorization.

10044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10044100 is about 3169.2428117770. The cubic root of 10044100 is about 215.7597064881.

Adding to 10044100 its reverse (144001), we get a palindrome (10188101).

Subtracting from 10044100 its reverse (144001), we obtain a palindrome (9900099).

It can be divided in two parts, 100 and 44100, that multiplied together give a square (4410000 = 2100²).

The spelling of 10044100 in words is "ten million, forty-four thousand, one hundred".