187134108100 has 81 divisors (see below), whose sum is σ = 410052622791. Its totient is φ = 74128622400.

The previous prime is 187134108097. The next prime is 187134108107. The reversal of 187134108100 is 1801431781.

The square root of 187134108100 is 432590.

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 100434483396 + 86699624704 = 316914^2 + 294448^2 .

It is a super-2 number, since 2×187134108100² (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 (187134108107) 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, 782987781 + ... + 782988019.

Almost surely, 2^187134108100 is an apocalyptic number.

187134108100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

187134108100 is the 432590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187134108100

187134108100 is an abundant number, since it is smaller than the sum of its proper divisors (222918514691).

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

187134108100 is an equidigital number, since it uses as much as digits as its factorization.

187134108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

Adding to 187134108100 its reverse (1801431781), we get a palindrome (188935539881).

The spelling of 187134108100 in words is "one hundred eighty-seven billion, one hundred thirty-four million, one hundred eight thousand, one hundred".