10344100 has 72 divisors (see below), whose sum is σ = 24729320. Its totient is φ = 3732480.

The previous prime is 10344091. The next prime is 10344107. The reversal of 10344100 is 144301.

It can be written as a sum of positive squares in 12 ways, for example, as 3247204 + 7096896 = 1802^2 + 2664^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10344107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94846 + ... + 94954.

Almost surely, 2^10344100 is an apocalyptic number.

10344100 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 10344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364660).

10344100 is an abundant number, since it is smaller than the sum of its proper divisors (14385220).

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

10344100 is a wasteful number, since it uses less digits than its factorization.

10344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10344100 is about 3216.2244946521. The cubic root of 10344100 is about 217.8867913732.

Adding to 10344100 its reverse (144301), we get a palindrome (10488401).

The spelling of 10344100 in words is "ten million, three hundred forty-four thousand, one hundred".