104221135196640 has 2688 divisors, whose sum is σ = 480208431467520. Its totient is φ = 20903246622720.

The previous prime is 104221135196609. The next prime is 104221135196681. The reversal of 104221135196640 is 46691531122401.

104221135196640 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 21 + 13 + 519 + 66 + 40 = 666.

It is a super-2 number, since 2×104221135196640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 31515309867 + ... + 31515313173.

It is an arithmetic number, because the mean of its divisors is an integer number (178648970040).

Almost surely, 2^{104221135196640} is an apocalyptic number.

104221135196640 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 104221135196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240104215733760).

104221135196640 is an abundant number, since it is smaller than the sum of its proper divisors (375987296270880).

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

104221135196640 is an equidigital number, since it uses as much as digits as its factorization.

104221135196640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 104221135196640 in words is "one hundred four trillion, two hundred twenty-one billion, one hundred thirty-five million, one hundred ninety-six thousand, six hundred forty".