20106564420 has 96 divisors (see below), whose sum is σ = 58911245568. Its totient is φ = 5118377472.

The previous prime is 20106564409. The next prime is 20106564433. The reversal of 20106564420 is 2446560102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32217 + ... + 203103.

It is an arithmetic number, because the mean of its divisors is an integer number (613658808).

Almost surely, 2^20106564420 is an apocalyptic number.

20106564420 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 20106564420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29455622784).

20106564420 is an abundant number, since it is smaller than the sum of its proper divisors (38804681148).

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

20106564420 is a wasteful number, since it uses less digits than its factorization.

20106564420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170989 (or 170987 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 20106564420 in words is "twenty billion, one hundred six million, five hundred sixty-four thousand, four hundred twenty".