20906933208100 has 27 divisors (see below), whose sum is σ = 45368144283091. Its totient is φ = 8362754993600.

The previous prime is 20906933208097. The next prime is 20906933208103. The reversal of 20906933208100 is 180233960902.

The square root of 20906933208100 is 4572410.

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

It is an interprime number because it is at equal distance from previous prime (20906933208097) and next prime (20906933208103).

It can be written as a sum of positive squares in 4 ways, for example, as 5645784679396 + 15261148528704 = 2376086^2 + 3906552^2 .

It is a super-2 number, since 2×20906933208100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20906933208103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45495480 + ... + 45952720.

Almost surely, 2^{20906933208100} is an apocalyptic number.

20906933208100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20906933208100 is the 4572410-th square number.

It is an amenable number.

20906933208100 is an abundant number, since it is smaller than the sum of its proper divisors (24461211074991).

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

20906933208100 is an frugal number, since it uses more digits than its factorization.

20906933208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914496 (or 457248 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 20906933208100 in words is "twenty trillion, nine hundred six billion, nine hundred thirty-three million, two hundred eight thousand, one hundred".