104145840 has 240 divisors, whose sum is σ = 385332480. Its totient is φ = 25090560.

The previous prime is 104145809. The next prime is 104145841. The reversal of 104145840 is 48541401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (104145841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314475 + ... + 314805.

It is an arithmetic number, because the mean of its divisors is an integer number (1605552).

Almost surely, 2^104145840 is an apocalyptic number.

104145840 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 104145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192666240).

104145840 is an abundant number, since it is smaller than the sum of its proper divisors (281186640).

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

104145840 is a wasteful number, since it uses less digits than its factorization.

104145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 104145840 is about 10205.1869164656. The cubic root of 104145840 is about 470.4866545205.

The spelling of 104145840 in words is "one hundred four million, one hundred forty-five thousand, eight hundred forty".