| Base | Representation |
|---|---|
| bin | 1111101111111… |
| … | …00101101011100 |
| 3 | 100012120201212120 |
| 4 | 13313330231130 |
| 5 | 232304411400 |
| 6 | 21035302540 |
| 7 | 3162614616 |
| oct | 767745534 |
| 9 | 305521776 |
| 10 | 132107100 |
| 11 | 68631024 |
| 12 | 382aaa50 |
| 13 | 214a58a8 |
| 14 | 1378bdb6 |
| 15 | b8e7ca0 |
| hex | 7dfcb5c |
132107100 has 72 divisors (see below), whose sum is σ = 384225408. Its totient is φ = 35044800.
The previous prime is 132107071. The next prime is 132107159. The reversal of 132107100 is 1701231.
132107100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 132107100.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62257 + ... + 64343.
It is an arithmetic number, because the mean of its divisors is an integer number (5336464).
Almost surely, 2132107100 is an apocalyptic number.
132107100 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 132107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192112704).
132107100 is an abundant number, since it is smaller than the sum of its proper divisors (252118308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132107100 is a wasteful number, since it uses less digits than its factorization.
132107100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2315 (or 2308 counting only the distinct ones).
The product of its (nonzero) digits is 42, while the sum is 15.
The square root of 132107100 is about 11493.7852772705. The cubic root of 132107100 is about 509.3020055489.
Adding to 132107100 its reverse (1701231), we get a palindrome (133808331).
The spelling of 132107100 in words is "one hundred thirty-two million, one hundred seven thousand, one hundred".
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