104144640 has 144 divisors (see below), whose sum is σ = 342067488. Its totient is φ = 26984448.

The previous prime is 104144591. The next prime is 104144653. The reversal of 104144640 is 46441401.

It is a super-2 number, since 2×104144640² = 21692212081459200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104144640.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 141714 + ... + 142446.

Almost surely, 2^104144640 is an apocalyptic number.

104144640 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 104144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171033744).

104144640 is an abundant number, since it is smaller than the sum of its proper divisors (237922848).

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

104144640 is an equidigital number, since it uses as much as digits as its factorization.

104144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

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

The square root of 104144640 is about 10205.1281226646. The cubic root of 104144640 is about 470.4848474835.

The spelling of 104144640 in words is "one hundred four million, one hundred forty-four thousand, six hundred forty".