100022132 has 36 divisors (see below), whose sum is σ = 205754724. Its totient is φ = 42416640.

The previous prime is 100022129. The next prime is 100022141. The reversal of 100022132 is 231220001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60155536 + 39866596 = 7756^2 + 6314^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16382 + ... + 21642.

It is an arithmetic number, because the mean of its divisors is an integer number (5715409).

Almost surely, 2^100022132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102877362).

100022132 is an abundant number, since it is smaller than the sum of its proper divisors (105732592).

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

100022132 is a wasteful number, since it uses less digits than its factorization.

100022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100022132 is about 10001.1065387786. The cubic root of 100022132 is about 464.1931233834.

Adding to 100022132 its reverse (231220001), we get a palindrome (331242133).

It can be divided in two parts, 1000 and 22132, that added together give a palindrome (23132).

The spelling of 100022132 in words is "one hundred million, twenty-two thousand, one hundred thirty-two".