187913580100 has 81 divisors (see below), whose sum is σ = 414590250333. Its totient is φ = 73929118560.

The previous prime is 187913579993. The next prime is 187913580139. The reversal of 187913580100 is 1085319781.

The square root of 187913580100 is 433490.

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., 67648888836 + 120264691264 = 260094^2 + 346792^2 .

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, 290437977 + ... + 290438623.

Almost surely, 2^187913580100 is an apocalyptic number.

187913580100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

187913580100 is the 433490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187913580100

187913580100 is an abundant number, since it is smaller than the sum of its proper divisors (226676670233).

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

187913580100 is an frugal number, since it uses more digits than its factorization.

187913580100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 43.

Adding to 187913580100 its reverse (1085319781), we get a palindrome (188998899881).

The spelling of 187913580100 in words is "one hundred eighty-seven billion, nine hundred thirteen million, five hundred eighty thousand, one hundred".