100553048568 has 256 divisors, whose sum is σ = 336245760000. Its totient is φ = 27802051200.

The previous prime is 100553048507. The next prime is 100553048569. The reversal of 100553048568 is 865840355001.

100553048568 is a `hidden beast` number, since 1 + 0 + 0 + 55 + 30 + 4 + 8 + 568 = 666.

It is a super-2 number, since 2×100553048568² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100553048569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2274838 + ... + 2318618.

It is an arithmetic number, because the mean of its divisors is an integer number (1313460000).

Almost surely, 2^100553048568 is an apocalyptic number.

100553048568 is a gapful number since it is divisible by the number (18) 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 100553048568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168122880000).

100553048568 is an abundant number, since it is smaller than the sum of its proper divisors (235692711432).

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

100553048568 is a wasteful number, since it uses less digits than its factorization.

100553048568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43848 (or 43824 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 100553048568 in words is "one hundred billion, five hundred fifty-three million, forty-eight thousand, five hundred sixty-eight".