20705139084100 has 81 divisors (see below), whose sum is σ = 45113069373253. Its totient is φ = 8248474493440.

The previous prime is 20705139084037. The next prime is 20705139084101. The reversal of 20705139084100 is 148093150702.

The square root of 20705139084100 is 4550290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 11421466348356 + 9283672735744 = 3379566^2 + 3046912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20705139084101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13332348924 + ... + 13332350476.

Almost surely, 2^{20705139084100} is an apocalyptic number.

20705139084100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20705139084100 is the 4550290-th square number.

It is an amenable number.

20705139084100 is an abundant number, since it is smaller than the sum of its proper divisors (24407930289153).

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

20705139084100 is an frugal number, since it uses more digits than its factorization.

20705139084100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 20705139084100 in words is "twenty trillion, seven hundred five billion, one hundred thirty-nine million, eighty-four thousand, one hundred".