104127840 has 144 divisors (see below), whose sum is σ = 358289568. Its totient is φ = 27537408.

The previous prime is 104127833. The next prime is 104127841. The reversal of 104127840 is 48721401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104127841) 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 23 ways as a sum of consecutive naturals, for example, 240264 + ... + 240696.

It is an arithmetic number, because the mean of its divisors is an integer number (2488122).

Almost surely, 2^104127840 is an apocalyptic number.

104127840 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 104127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

104127840 is an abundant number, since it is smaller than the sum of its proper divisors (254161728).

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

104127840 is a wasteful number, since it uses less digits than its factorization.

104127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104127840 is about 10204.3049738823. The cubic root of 104127840 is about 470.4595475081.

The spelling of 104127840 in words is "one hundred four million, one hundred twenty-seven thousand, eight hundred forty".