191835240100 has 81 divisors (see below), whose sum is σ = 484324361283. Its totient is φ = 65761570560.

The previous prime is 191835240083. The next prime is 191835240109. The reversal of 191835240100 is 1042538191.

The square root of 191835240100 is 437990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51102219364 + 140733020736 = 226058^2 + 375144^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (191835240109) 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, 30656172 + ... + 30662428.

Almost surely, 2^191835240100 is an apocalyptic number.

191835240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

191835240100 is the 437990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191835240100

191835240100 is an abundant number, since it is smaller than the sum of its proper divisors (292489121183).

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

191835240100 is an frugal number, since it uses more digits than its factorization.

191835240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12542 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

Adding to 191835240100 its reverse (1042538191), we get a palindrome (192877778291).

The spelling of 191835240100 in words is "one hundred ninety-one billion, eight hundred thirty-five million, two hundred forty thousand, one hundred".