104521514321400 has 384 divisors, whose sum is σ = 360225311961600. Its totient is φ = 24854716057600.

The previous prime is 104521514321369. The next prime is 104521514321407. The reversal of 104521514321400 is 4123415125401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104521514321407) 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, 1621990381 + ... + 1622054819.

It is an arithmetic number, because the mean of its divisors is an integer number (938086749900).

Almost surely, 2^{104521514321400} is an apocalyptic number.

104521514321400 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 104521514321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180112655980800).

104521514321400 is an abundant number, since it is smaller than the sum of its proper divisors (255703797640200).

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

104521514321400 is a wasteful number, since it uses less digits than its factorization.

104521514321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69159 (or 69150 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 104521514321400 its reverse (4123415125401), we get a palindrome (108644929446801).

The spelling of 104521514321400 in words is "one hundred four trillion, five hundred twenty-one billion, five hundred fourteen million, three hundred twenty-one thousand, four hundred".