104029920 has 240 divisors, whose sum is σ = 384199200. Its totient is φ = 26459136.

The previous prime is 104029909. The next prime is 104029969. The reversal of 104029920 is 29920401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297906 + ... + 298254.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 2^104029920 is an apocalyptic number.

104029920 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 104029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192099600).

104029920 is an abundant number, since it is smaller than the sum of its proper divisors (280169280).

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

104029920 is a wasteful number, since it uses less digits than its factorization.

104029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104029920 is about 10199.5058703841. The cubic root of 104029920 is about 470.3120306136.

The spelling of 104029920 in words is "one hundred four million, twenty-nine thousand, nine hundred twenty".