20867103900 has 288 divisors, whose sum is σ = 71275438080. Its totient is φ = 5219159040.

The previous prime is 20867103877. The next prime is 20867103919. The reversal of 20867103900 is 930176802.

20867103900 is a `hidden beast` number, since 208 + 67 + 1 + 0 + 390 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 17579107 + ... + 17580293.

It is an arithmetic number, because the mean of its divisors is an integer number (247484160).

Almost surely, 2^20867103900 is an apocalyptic number.

20867103900 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 20867103900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35637719040).

20867103900 is an abundant number, since it is smaller than the sum of its proper divisors (50408334180).

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

20867103900 is a wasteful number, since it uses less digits than its factorization.

20867103900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1597 counting only the distinct ones).

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

The spelling of 20867103900 in words is "twenty billion, eight hundred sixty-seven million, one hundred three thousand, nine hundred".