10413144 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2903040.

The previous prime is 10413131. The next prime is 10413149. The reversal of 10413144 is 44131401.

10413144 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

10413144 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107304 + ... + 107400.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^10413144 is an apocalyptic number.

10413144 is a gapful number since it is divisible by the number (14) 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 10413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10413144 is an abundant number, since it is smaller than the sum of its proper divisors (23455656).

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

10413144 is a wasteful number, since it uses less digits than its factorization.

10413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10413144 is about 3226.9403465202. The cubic root of 10413144 is about 218.3704947461.

Adding to 10413144 its reverse (44131401), we get a palindrome (54544545).

The spelling of 10413144 in words is "ten million, four hundred thirteen thousand, one hundred forty-four".