100052525786836 has 144 divisors (see below), whose sum is σ = 213373355222160. Its totient is φ = 40891862968320.

The previous prime is 100052525786771. The next prime is 100052525786839. The reversal of 100052525786836 is 638687525250001.

It can be written as a sum of positive squares in 8 ways, for example, as 29579522954436 + 70473002832400 = 5438706^2 + 8394820^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100052525786839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114132606 + ... + 115005898.

It is an arithmetic number, because the mean of its divisors is an integer number (1481759411265).

Almost surely, 2^{100052525786836} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100052525786836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686677611080).

100052525786836 is an abundant number, since it is smaller than the sum of its proper divisors (113320829435324).

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

100052525786836 is a wasteful number, since it uses less digits than its factorization.

100052525786836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873674 (or 873665 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 58.

The spelling of 100052525786836 in words is "one hundred trillion, fifty-two billion, five hundred twenty-five million, seven hundred eighty-six thousand, eight hundred thirty-six".