168740100 has 81 divisors (see below), whose sum is σ = 530130783. Its totient is φ = 44893440.

The previous prime is 168740087. The next prime is 168740107. The reversal of 168740100 is 1047861.

It is a happy number.

The square root of 168740100 is 12990.

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 51581124 + 117158976 = 7182^2 + 10824^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (168740107) 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, 389484 + ... + 389916.

Almost surely, 2^168740100 is an apocalyptic number.

168740100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168740100 is the 12990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168740100

168740100 is an abundant number, since it is smaller than the sum of its proper divisors (361390683).

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

168740100 is a wasteful number, since it uses less digits than its factorization.

168740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The cubic root of 168740100 is about 552.5939180923.

Adding to 168740100 its reverse (1047861), we get a palindrome (169787961).

The spelling of 168740100 in words is "one hundred sixty-eight million, seven hundred forty thousand, one hundred".