100005789952 has 72 divisors (see below), whose sum is σ = 208426385664. Its totient is φ = 47799865344.

The previous prime is 100005789937. The next prime is 100005789953. The reversal of 100005789952 is 259987500001.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (100005789953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12142828 + ... + 12151060.

It is an arithmetic number, because the mean of its divisors is an integer number (2894810912).

Almost surely, 2^100005789952 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 100005789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104213192832).

100005789952 is an abundant number, since it is smaller than the sum of its proper divisors (108420595712).

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

100005789952 is an equidigital number, since it uses as much as digits as its factorization.

100005789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10335 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 46.

The spelling of 100005789952 in words is "one hundred billion, five million, seven hundred eighty-nine thousand, nine hundred fifty-two".