171139416100 has 81 divisors (see below), whose sum is σ = 381028953081. Its totient is φ = 66719923200.

The previous prime is 171139416089. The next prime is 171139416121. The reversal of 171139416100 is 1614931171.

The square root of 171139416100 is 413690.

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 168735279076 + 2404137024 = 410774^2 + 49032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169612396 + ... + 169613404.

Almost surely, 2^171139416100 is an apocalyptic number.

171139416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

171139416100 is the 413690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171139416100

171139416100 is an abundant number, since it is smaller than the sum of its proper divisors (209889536981).

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

171139416100 is an equidigital number, since it uses as much as digits as its factorization.

171139416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 171139416100 in words is "one hundred seventy-one billion, one hundred thirty-nine million, four hundred sixteen thousand, one hundred".