100005132 has 48 divisors (see below), whose sum is σ = 253568000. Its totient is φ = 30559680.

The previous prime is 100005131. The next prime is 100005149. The reversal of 100005132 is 231500001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100005131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7 + ... + 14142.

Almost surely, 2^100005132 is an apocalyptic number.

100005132 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 100005132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126784000).

100005132 is an abundant number, since it is smaller than the sum of its proper divisors (153562868).

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

100005132 is a wasteful number, since it uses less digits than its factorization.

100005132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14206 (or 14204 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100005132 is about 10000.2565967079. The cubic root of 100005132 is about 464.1668234367.

Adding to 100005132 its reverse (231500001), we get a palindrome (331505133).

The spelling of 100005132 in words is "one hundred million, five thousand, one hundred thirty-two".