104845440 has 256 divisors, whose sum is σ = 396576000. Its totient is φ = 23052288.

The previous prime is 104845427. The next prime is 104845453. The reversal of 104845440 is 44548401.

It is an interprime number because it is at equal distance from previous prime (104845427) and next prime (104845453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104845398 and 104845407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389626 + ... + 389894.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 2^104845440 is an apocalyptic number.

104845440 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 104845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

104845440 is an abundant number, since it is smaller than the sum of its proper divisors (291730560).

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

104845440 is a wasteful number, since it uses less digits than its factorization.

104845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 104845440 is about 10239.4062327852. The cubic root of 104845440 is about 471.5378028404.

The spelling of 104845440 in words is "one hundred four million, eight hundred forty-five thousand, four hundred forty".