191257559568100 has 27 divisors (see below), whose sum is σ = 415029204365097. Its totient is φ = 76502968508880.

The previous prime is 191257559568017. The next prime is 191257559568113. The reversal of 191257559568100 is 1865955752191.

The square root of 191257559568100 is 13829590.

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., 68852721444516 + 122404838123584 = 8297754^2 + 11063672^2 .

It is a super-2 number, since 2×191257559568100² (a number of 29 digits) contains 22 as substring.

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, 137604421 + ... + 138987379.

Almost surely, 2^{191257559568100} is an apocalyptic number.

191257559568100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

191257559568100 is the 13829590-th square number.

It is an amenable number.

191257559568100 is an abundant number, since it is smaller than the sum of its proper divisors (223771644796997).

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

191257559568100 is an frugal number, since it uses more digits than its factorization.

191257559568100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765932 (or 1382966 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 64.

The spelling of 191257559568100 in words is "one hundred ninety-one trillion, two hundred fifty-seven billion, five hundred fifty-nine million, five hundred sixty-eight thousand, one hundred".