100132110 has 144 divisors (see below), whose sum is σ = 297434592. Its totient is φ = 23189760.

The previous prime is 100132073. The next prime is 100132111. The reversal of 100132110 is 11231001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100132092 and 100132101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1641480 + ... + 1641540.

It is an arithmetic number, because the mean of its divisors is an integer number (2065518).

Almost surely, 2^100132110 is an apocalyptic number.

100132110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100132110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148717296).

100132110 is an abundant number, since it is smaller than the sum of its proper divisors (197302482).

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

100132110 is a wasteful number, since it uses less digits than its factorization.

100132110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100132110 is about 10006.6033198084. The cubic root of 100132110 is about 464.3631935166.

Adding to 100132110 its reverse (11231001), we get a palindrome (111363111).

The spelling of 100132110 in words is "one hundred million, one hundred thirty-two thousand, one hundred ten".