20952642100 has 144 divisors (see below), whose sum is σ = 50790499200. Its totient is φ = 7449361920.

The previous prime is 20952642089. The next prime is 20952642131. The reversal of 20952642100 is 124625902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24391471 + ... + 24392329.

It is an arithmetic number, because the mean of its divisors is an integer number (352711800).

Almost surely, 2^20952642100 is an apocalyptic number.

20952642100 is a gapful number since it is divisible by the number (20) 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 20952642100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25395249600).

20952642100 is an abundant number, since it is smaller than the sum of its proper divisors (29837857100).

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

20952642100 is a wasteful number, since it uses less digits than its factorization.

20952642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 20952642100 in words is "twenty billion, nine hundred fifty-two million, six hundred forty-two thousand, one hundred".