104482759769100 has 288 divisors, whose sum is σ = 355806986895360. Its totient is φ = 26211631518720.

The previous prime is 104482759769081. The next prime is 104482759769161. The reversal of 104482759769100 is 1967957284401.

104482759769100 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 8 + 27 + 597 + 6 + 9 + 10 + 0 = 666.

It is a super-2 number, since 2×104482759769100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104475637 + ... + 105470963.

It is an arithmetic number, because the mean of its divisors is an integer number (1235440926720).

Almost surely, 2^{104482759769100} is an apocalyptic number.

104482759769100 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 104482759769100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177903493447680).

104482759769100 is an abundant number, since it is smaller than the sum of its proper divisors (251324227126260).

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

104482759769100 is a wasteful number, since it uses less digits than its factorization.

104482759769100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997654 (or 997641 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 104482759769100 in words is "one hundred four trillion, four hundred eighty-two billion, seven hundred fifty-nine million, seven hundred sixty-nine thousand, one hundred".