172132100 has 54 divisors (see below), whose sum is σ = 434522970. Its totient is φ = 59015040.

The previous prime is 172132067. The next prime is 172132127. The reversal of 172132100 is 1231271.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 172081924 = 224^2 + 13118^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12665 + ... + 22464.

Almost surely, 2^172132100 is an apocalyptic number.

172132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172132100 is an abundant number, since it is smaller than the sum of its proper divisors (262390870).

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

172132100 is a wasteful number, since it uses less digits than its factorization.

172132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35157 (or 35143 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 172132100 is about 13119.9123472682. The cubic root of 172132100 is about 556.2721137528.

Adding to 172132100 its reverse (1231271), we get a palindrome (173363371).

The spelling of 172132100 in words is "one hundred seventy-two million, one hundred thirty-two thousand, one hundred".