100552808339424 has 432 divisors, whose sum is σ = 350184614532480. Its totient is φ = 27213774819840.

The previous prime is 100552808339411. The next prime is 100552808339479. The reversal of 100552808339424 is 424933808255001.

100552808339424 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 280 + 8 + 339 + 4 + 24 = 666.

It is a super-3 number, since 3×100552808339424³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2580176259 + ... + 2580215229.

It is an arithmetic number, because the mean of its divisors is an integer number (810612533640).

Almost surely, 2^{100552808339424} is an apocalyptic number.

100552808339424 is a gapful number since it is divisible by the number (14) 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 100552808339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175092307266240).

100552808339424 is an abundant number, since it is smaller than the sum of its proper divisors (249631806193056).

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

100552808339424 is a wasteful number, since it uses less digits than its factorization.

100552808339424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48643 (or 48625 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 100552808339424 in words is "one hundred trillion, five hundred fifty-two billion, eight hundred eight million, three hundred thirty-nine thousand, four hundred twenty-four".