104640144 has 160 divisors (see below), whose sum is σ = 334740480. Its totient is φ = 27495936.

The previous prime is 104640139. The next prime is 104640157. The reversal of 104640144 is 441046401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 235987 + ... + 236429.

It is an arithmetic number, because the mean of its divisors is an integer number (2092128).

Almost surely, 2^104640144 is an apocalyptic number.

104640144 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 104640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167370240).

104640144 is an abundant number, since it is smaller than the sum of its proper divisors (230100336).

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

104640144 is a wasteful number, since it uses less digits than its factorization.

104640144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104640144 is about 10229.3765205901. The cubic root of 104640144 is about 471.2298318006.

Adding to 104640144 its reverse (441046401), we get a palindrome (545686545).

The spelling of 104640144 in words is "one hundred four million, six hundred forty thousand, one hundred forty-four".