104991520228320 has 384 divisors, whose sum is σ = 366188693391360. Its totient is φ = 25073330554880.

The previous prime is 104991520228313. The next prime is 104991520228367. The reversal of 104991520228320 is 23822025199401.

It is a super-2 number, since 2×104991520228320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 104991520228320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151724071 + ... + 152414489.

It is an arithmetic number, because the mean of its divisors is an integer number (953616389040).

Almost surely, 2^{104991520228320} is an apocalyptic number.

104991520228320 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 104991520228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183094346695680).

104991520228320 is an abundant number, since it is smaller than the sum of its proper divisors (261197173163040).

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

104991520228320 is a wasteful number, since it uses less digits than its factorization.

104991520228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690878 (or 690870 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 104991520228320 in words is "one hundred four trillion, nine hundred ninety-one billion, five hundred twenty million, two hundred twenty-eight thousand, three hundred twenty".