10440100 has 36 divisors (see below), whose sum is σ = 24717168. Its totient is φ = 3796000.

The previous prime is 10440083. The next prime is 10440103. The reversal of 10440100 is 104401.

10440100 = 300² + 301² + ... + 387².

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 (10440103) 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 11 ways as a sum of consecutive naturals, for example, 3646 + ... + 5845.

It is an arithmetic number, because the mean of its divisors is an integer number (686588).

Almost surely, 2^10440100 is an apocalyptic number.

10440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440100 is an abundant number, since it is smaller than the sum of its proper divisors (14277068).

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

10440100 is a wasteful number, since it uses less digits than its factorization.

10440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9509 counting only the distinct ones).

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

The square root of 10440100 is about 3231.1143588552. The cubic root of 10440100 is about 218.5587607515.

Adding to 10440100 its reverse (104401), we get a palindrome (10544501).

Multiplying 10440100 by its reverse (104401), we get a square (1089956880100 = 1044010²).

10440100 divided by its reverse (104401) gives a square (100 = 10²).

It can be divided in two parts, 104 and 40100, that added together give a palindrome (40204).

The spelling of 10440100 in words is "ten million, four hundred forty thousand, one hundred".