200457742056100 has 27 divisors (see below), whose sum is σ = 434993607497281. Its totient is φ = 80183040189200.

The previous prime is 200457742055947. The next prime is 200457742056163. The reversal of 200457742056100 is 1650247754002.

The square root of 200457742056100 is 14158310.

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., 72164787140196 + 128292954915904 = 8494986^2 + 11326648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140875185 + ... + 142291015.

Almost surely, 2^{200457742056100} is an apocalyptic number.

200457742056100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200457742056100 is the 14158310-th square number.

It is an amenable number.

200457742056100 is an abundant number, since it is smaller than the sum of its proper divisors (234535865441181).

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

200457742056100 is an frugal number, since it uses more digits than its factorization.

200457742056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831676 (or 1415838 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 200457742056100 in words is "two hundred trillion, four hundred fifty-seven billion, seven hundred forty-two million, fifty-six thousand, one hundred".