20968500100 has 72 divisors (see below), whose sum is σ = 46837002240. Its totient is φ = 8144075520.

The previous prime is 20968500097. The next prime is 20968500109. The reversal of 20968500100 is 100586902.

It is not an unprimeable number, because it can be changed into a prime (20968500109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 579336 + ... + 614464.

It is an arithmetic number, because the mean of its divisors is an integer number (650513920).

Almost surely, 2^20968500100 is an apocalyptic number.

20968500100 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 20968500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23418501120).

20968500100 is an abundant number, since it is smaller than the sum of its proper divisors (25868502140).

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

20968500100 is a wasteful number, since it uses less digits than its factorization.

20968500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35317 (or 35310 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 20968500100 in words is "twenty billion, nine hundred sixty-eight million, five hundred thousand, one hundred".