2107055464900 has 81 divisors (see below), whose sum is σ = 4596407315661. Its totient is φ = 838403606880.

The previous prime is 2107055464897. The next prime is 2107055464909. The reversal of 2107055464900 is 94645507012.

The square root of 2107055464900 is 1451570.

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

It can be written as a sum of positive squares in only one way, i.e., 758539967364 + 1348515497536 = 870942^2 + 1161256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2107055464909) 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, 5501450109 + ... + 5501450491.

Almost surely, 2^{2107055464900} is an apocalyptic number.

2107055464900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2107055464900 is the 1451570-th square number.

It is an amenable number.

2107055464900 is an abundant number, since it is smaller than the sum of its proper divisors (2489351850761).

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

2107055464900 is an frugal number, since it uses more digits than its factorization.

2107055464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 2107055464900 in words is "two trillion, one hundred seven billion, fifty-five million, four hundred sixty-four thousand, nine hundred".