Cookie Consent by
Search a number
104405760 = 283451953

104405760 has 360 divisors, whose sum is σ = 400664880. Its totient is φ = 25878528.

The previous prime is 104405747. The next prime is 104405761. The reversal of 104405760 is 67504401.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104405761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969894 + ... + 1969946.

It is an arithmetic number, because the mean of its divisors is an integer number (1112958).

Almost surely, 2104405760 is an apocalyptic number.

104405760 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 104405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200332440).

104405760 is an abundant number, since it is smaller than the sum of its proper divisors (296259120).

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

104405760 is an equidigital number, since it uses as much as digits as its factorization.

104405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 104405760 is about 10217.9136813735. The cubic root of 104405760 is about 470.8777320667.

The spelling of 104405760 in words is "one hundred four million, four hundred five thousand, seven hundred sixty".