104548640 has 192 divisors, whose sum is σ = 315705600. Its totient is φ = 31961088.

The previous prime is 104548627. The next prime is 104548651. The reversal of 104548640 is 46845401.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 104548597 and 104548606.

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 31 ways as a sum of consecutive naturals, for example, 5502551 + ... + 5502569.

It is an arithmetic number, because the mean of its divisors is an integer number (1644300).

Almost surely, 2^104548640 is an apocalyptic number.

104548640 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 104548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800).

104548640 is an abundant number, since it is smaller than the sum of its proper divisors (211156960).

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

104548640 is an equidigital number, since it uses as much as digits as its factorization.

104548640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 104548640 is about 10224.9029335246. The cubic root of 104548640 is about 471.0924339602.

The spelling of 104548640 in words is "one hundred four million, five hundred forty-eight thousand, six hundred forty".