20783906100 has 144 divisors (see below), whose sum is σ = 66874608640. Its totient is φ = 5537548800.

The previous prime is 20783906057. The next prime is 20783906111. The reversal of 20783906100 is 160938702.

20783906100 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 39 + 0 + 610 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3969084 + ... + 3974316.

Almost surely, 2^20783906100 is an apocalyptic number.

20783906100 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 20783906100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33437304320).

20783906100 is an abundant number, since it is smaller than the sum of its proper divisors (46090702540).

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

20783906100 is a wasteful number, since it uses less digits than its factorization.

20783906100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6727 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20783906100 in words is "twenty billion, seven hundred eighty-three million, nine hundred six thousand, one hundred".