104946420080896 has 81 divisors (see below), whose sum is σ = 222536179255341. Its totient is φ = 49385239351296.

The previous prime is 104946420080857. The next prime is 104946420080921. The reversal of 104946420080896 is 698080024649401.

The square root of 104946420080896 is 10244336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81705690374400 + 23240729706496 = 9039120^2 + 4820864^2 .

It is a super-2 number, since 2×104946420080896² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2786440561 + ... + 2786478223.

Almost surely, 2^{104946420080896} is an apocalyptic number.

104946420080896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104946420080896 is the 10244336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104946420080896

104946420080896 is an abundant number, since it is smaller than the sum of its proper divisors (117589759174445).

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

104946420080896 is an frugal number, since it uses more digits than its factorization.

104946420080896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75376 (or 37682 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 104946420080896 in words is "one hundred four trillion, nine hundred forty-six billion, four hundred twenty million, eighty thousand, eight hundred ninety-six".