104517513100000 has 1728 divisors, whose sum is σ = 363156132519936. Its totient is φ = 28756569600000.

The previous prime is 104517513099973. The next prime is 104517513100009. The reversal of 104517513100000 is 1315715401.

It is a super-2 number, since 2×104517513100000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104517513100009) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25325297937 + ... + 25325302063.

It is an arithmetic number, because the mean of its divisors is an integer number (210159798912).

Almost surely, 2^{104517513100000} is an apocalyptic number.

104517513100000 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 104517513100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181578066259968).

104517513100000 is an abundant number, since it is smaller than the sum of its proper divisors (258638619419936).

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

104517513100000 is a wasteful number, since it uses less digits than its factorization.

104517513100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

Adding to 104517513100000 its reverse (1315715401), we get a palindrome (104518828815401).

The spelling of 104517513100000 in words is "one hundred four trillion, five hundred seventeen billion, five hundred thirteen million, one hundred thousand".