104219298552096 has 2304 divisors, whose sum is σ = 407759109488640. Its totient is φ = 25421189713920.

The previous prime is 104219298552091. The next prime is 104219298552137. The reversal of 104219298552096 is 690255892912401.

104219298552096 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 9 + 29 + 85 + 520 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (104219298552091) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114400985881 + ... + 114400986791.

It is an arithmetic number, because the mean of its divisors is an integer number (176978780160).

Almost surely, 2^{104219298552096} is an apocalyptic number.

104219298552096 is a gapful number since it is divisible by the number (16) 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 104219298552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203879554744320).

104219298552096 is an abundant number, since it is smaller than the sum of its proper divisors (303539810936544).

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

104219298552096 is a wasteful number, since it uses less digits than its factorization.

104219298552096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 104219298552096 in words is "one hundred four trillion, two hundred nineteen billion, two hundred ninety-eight million, five hundred fifty-two thousand, ninety-six".