104372928 has 336 divisors, whose sum is σ = 374294400. Its totient is φ = 28200960.

The previous prime is 104372927. The next prime is 104372929. The reversal of 104372928 is 829273401.

It is an interprime number because it is at equal distance from previous prime (104372927) and next prime (104372929).

It is a super-3 number, since 3×104372928³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104372892 and 104372901.

It is not an unprimeable number, because it can be changed into a prime (104372927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5493303 + ... + 5493321.

Almost surely, 2^104372928 is an apocalyptic number.

104372928 is a gapful number since it is divisible by the number (18) 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 104372928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187147200).

104372928 is an abundant number, since it is smaller than the sum of its proper divisors (269921472).

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

104372928 is a wasteful number, since it uses less digits than its factorization.

104372928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 104372928 is about 10216.3069648479. The cubic root of 104372928 is about 470.8283686392.

The spelling of 104372928 in words is "one hundred four million, three hundred seventy-two thousand, nine hundred twenty-eight".