104345053120 has 672 divisors, whose sum is σ = 340744942080. Its totient is φ = 30003240960.

The previous prime is 104345053069. The next prime is 104345053133. The reversal of 104345053120 is 21350543401.

It is a super-3 number, since 3×104345053120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115043707 + ... + 115044613.

Almost surely, 2^104345053120 is an apocalyptic number.

104345053120 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 104345053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170372471040).

104345053120 is an abundant number, since it is smaller than the sum of its proper divisors (236399888960).

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

104345053120 is a wasteful number, since it uses less digits than its factorization.

104345053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 104345053120 its reverse (21350543401), we get a palindrome (125695596521).

The spelling of 104345053120 in words is "one hundred four billion, three hundred forty-five million, fifty-three thousand, one hundred twenty".