830668188100 has 27 divisors (see below), whose sum is σ = 1802569745991. Its totient is φ = 332263629600.

The previous prime is 830668188083. The next prime is 830668188101. The reversal of 830668188100 is 1881866038.

The square root of 830668188100 is 911410.

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

830668188100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 259543378116 + 571124809984 = 509454^2 + 755728^2 .

It is a super-2 number, since 2×830668188100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830668188101) 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, 9068530 + ... + 9159670.

Almost surely, 2^830668188100 is an apocalyptic number.

830668188100 is the 911410-th square number.

It is an amenable number.

830668188100 is an abundant number, since it is smaller than the sum of its proper divisors (971901557891).

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

830668188100 is an frugal number, since it uses more digits than its factorization.

830668188100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182296 (or 91148 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

Multiplying 830668188100 by its sum of digits (49), we get a square (40702741216900 = 6379870²).

The spelling of 830668188100 in words is "eight hundred thirty billion, six hundred sixty-eight million, one hundred eighty-eight thousand, one hundred".