104947920 has 320 divisors, whose sum is σ = 451399680. Its totient is φ = 21772800.

The previous prime is 104947861. The next prime is 104947933. The reversal of 104947920 is 29749401.

It is a super-2 number, since 2×104947920² = 22028131824652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166005 + ... + 166635.

It is an arithmetic number, because the mean of its divisors is an integer number (1410624).

Almost surely, 2^104947920 is an apocalyptic number.

104947920 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 104947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225699840).

104947920 is an abundant number, since it is smaller than the sum of its proper divisors (346451760).

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

104947920 is a wasteful number, since it uses less digits than its factorization.

104947920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 104947920 is about 10244.4092069772. The cubic root of 104947920 is about 471.6913859251.

The spelling of 104947920 in words is "one hundred four million, nine hundred forty-seven thousand, nine hundred twenty".