104189197440 has 384 divisors, whose sum is σ = 357116688000. Its totient is φ = 25748176896.

The previous prime is 104189197433. The next prime is 104189197477. The reversal of 104189197440 is 44791981401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 104189197440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173938261 + ... + 173938859.

It is an arithmetic number, because the mean of its divisors is an integer number (929991375).

Almost surely, 2^104189197440 is an apocalyptic number.

104189197440 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 104189197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178558344000).

104189197440 is an abundant number, since it is smaller than the sum of its proper divisors (252927490560).

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

104189197440 is an equidigital number, since it uses as much as digits as its factorization.

104189197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 104189197440 in words is "one hundred four billion, one hundred eighty-nine million, one hundred ninety-seven thousand, four hundred forty".