104501205042400 has 144 divisors (see below), whose sum is σ = 256065046288128. Its totient is φ = 41644760256000.

The previous prime is 104501205042337. The next prime is 104501205042413. The reversal of 104501205042400 is 4240502105401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376671735 + ... + 376949065.

It is an arithmetic number, because the mean of its divisors is an integer number (1778229488112).

Almost surely, 2^{104501205042400} is an apocalyptic number.

104501205042400 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 104501205042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128032523144064).

104501205042400 is an abundant number, since it is smaller than the sum of its proper divisors (151563841245728).

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

104501205042400 is a wasteful number, since it uses less digits than its factorization.

104501205042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279105 (or 279092 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 104501205042400 its reverse (4240502105401), we get a palindrome (108741707147801).

The spelling of 104501205042400 in words is "one hundred four trillion, five hundred one billion, two hundred five million, forty-two thousand, four hundred".