191047668100 has 81 divisors (see below), whose sum is σ = 419457782541. Its totient is φ = 75529152000.

The previous prime is 191047668011. The next prime is 191047668101. The reversal of 191047668100 is 1866740191.

The square root of 191047668100 is 437090.

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 295358596 + 190752309504 = 17186^2 + 436752^2 .

It is a super-2 number, since 2×191047668100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191047668101) 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, 476427900 + ... + 476428300.

Almost surely, 2^191047668100 is an apocalyptic number.

191047668100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

191047668100 is the 437090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191047668100

191047668100 is an abundant number, since it is smaller than the sum of its proper divisors (228410114441).

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

191047668100 is an equidigital number, since it uses as much as digits as its factorization.

191047668100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 191047668100 in words is "one hundred ninety-one billion, forty-seven million, six hundred sixty-eight thousand, one hundred".