104289403545600 has 4608 divisors, whose sum is σ = 469871176320000. Its totient is φ = 20318823383040.

The previous prime is 104289403545581. The next prime is 104289403545619. The reversal of 104289403545600 is 6545304982401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104289403545581) and next prime (104289403545619).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1967724595174 + ... + 1967724595226.

It is an arithmetic number, because the mean of its divisors is an integer number (101968571250).

Almost surely, 2^{104289403545600} is an apocalyptic number.

104289403545600 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 104289403545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234935588160000).

104289403545600 is an abundant number, since it is smaller than the sum of its proper divisors (365581772774400).

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

104289403545600 is an equidigital number, since it uses as much as digits as its factorization.

104289403545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 104289403545600 in words is "one hundred four trillion, two hundred eighty-nine billion, four hundred three million, five hundred forty-five thousand, six hundred".