100029132 has 72 divisors (see below), whose sum is σ = 290218656. Its totient is φ = 28456704.

The previous prime is 100029121. The next prime is 100029133. The reversal of 100029132 is 231920001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100029133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69088 + ... + 70520.

Almost surely, 2^100029132 is an apocalyptic number.

100029132 is a gapful number since it is divisible by the number (12) 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 100029132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145109328).

100029132 is an abundant number, since it is smaller than the sum of its proper divisors (190189524).

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

100029132 is a wasteful number, since it uses less digits than its factorization.

100029132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100029132 is about 10001.4564939313. The cubic root of 100029132 is about 464.2039519071.

Adding to 100029132 its reverse (231920001), we get a palindrome (331949133).

The spelling of 100029132 in words is "one hundred million, twenty-nine thousand, one hundred thirty-two".