100009442052 has 144 divisors (see below), whose sum is σ = 288570325680. Its totient is φ = 28931088384.

The previous prime is 100009442033. The next prime is 100009442063. The reversal of 100009442052 is 250244900001.

100009442052 is a `hidden beast` number, since 100 + 0 + 0 + 94 + 420 + 52 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44291727936 + 55717714116 = 210456^2 + 236046^2 .

It is a super-3 number, since 3×100009442052³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8053224 + ... + 8065632.

It is an arithmetic number, because the mean of its divisors is an integer number (2003960595).

Almost surely, 2^100009442052 is an apocalyptic number.

100009442052 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 100009442052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144285162840).

100009442052 is an abundant number, since it is smaller than the sum of its proper divisors (188560883628).

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

100009442052 is a wasteful number, since it uses less digits than its factorization.

100009442052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13457 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 100009442052 in words is "one hundred billion, nine million, four hundred forty-two thousand, fifty-two".