132510100 has 36 divisors (see below), whose sum is σ = 289175068. Its totient is φ = 52704000.

The previous prime is 132510067. The next prime is 132510113. The reversal of 132510100 is 1015231.

It can be written as a sum of positive squares in 6 ways, for example, as 76947984 + 55562116 = 8772^2 + 7454^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14440 + ... + 21760.

Almost surely, 2^132510100 is an apocalyptic number.

132510100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144587534).

132510100 is an abundant number, since it is smaller than the sum of its proper divisors (156664968).

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

132510100 is a wasteful number, since it uses less digits than its factorization.

132510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 132510100 is about 11511.3031408264. The cubic root of 132510100 is about 509.8193644537.

Adding to 132510100 its reverse (1015231), we get a palindrome (133525331).

The spelling of 132510100 in words is "one hundred thirty-two million, five hundred ten thousand, one hundred".