100053260352 has 84 divisors (see below), whose sum is σ = 287162715996. Its totient is φ = 33307115520.

The previous prime is 100053260309. The next prime is 100053260357. The reversal of 100053260352 is 253062350001.

100053260352 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 3 + 2 + 603 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44009326656 + 56043933696 = 209784^2 + 236736^2 .

It is not an unprimeable number, because it can be changed into a prime (100053260357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324208 + ... + 552464.

Almost surely, 2^100053260352 is an apocalyptic number.

100053260352 is a gapful number since it is divisible by the number (12) 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 100053260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143581357998).

100053260352 is an abundant number, since it is smaller than the sum of its proper divisors (187109455644).

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

100053260352 is a wasteful number, since it uses less digits than its factorization.

100053260352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229036 (or 229023 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 100053260352 in words is "one hundred billion, fifty-three million, two hundred sixty thousand, three hundred fifty-two".