10056144 has 60 divisors (see below), whose sum is σ = 29862176. Its totient is φ = 2856576.

The previous prime is 10056143. The next prime is 10056157. The reversal of 10056144 is 44165001.

It is a super-2 number, since 2×10056144² = 202252064297472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10056144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58042 + ... + 58214.

Almost surely, 2^10056144 is an apocalyptic number.

10056144 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 10056144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931088).

10056144 is an abundant number, since it is smaller than the sum of its proper divisors (19806032).

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

10056144 is an equidigital number, since it uses as much as digits as its factorization.

10056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10056144 is about 3171.1423809094. The cubic root of 10056144 is about 215.8459120523.

Multiplying 10056144 by its sum of digits (21), we get a square (211179024 = 14532²).

10056144 divided by its sum of digits (21) gives a square (478864 = 692²).

The spelling of 10056144 in words is "ten million, fifty-six thousand, one hundred forty-four".