104328465120 has 576 divisors, whose sum is σ = 405315368640. Its totient is φ = 24406609920.

The previous prime is 104328465103. The next prime is 104328465121. The reversal of 104328465120 is 21564823401.

It is a happy number.

104328465120 is a `hidden beast` number, since 10 + 43 + 28 + 465 + 120 = 666.

It is a super-2 number, since 2×104328465120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104328465121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55581622 + ... + 55583498.

It is an arithmetic number, because the mean of its divisors is an integer number (703672515).

Almost surely, 2^104328465120 is an apocalyptic number.

104328465120 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 104328465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202657684320).

104328465120 is an abundant number, since it is smaller than the sum of its proper divisors (300986903520).

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

104328465120 is a wasteful number, since it uses less digits than its factorization.

104328465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 104328465120 in words is "one hundred four billion, three hundred twenty-eight million, four hundred sixty-five thousand, one hundred twenty".