100026032 has 40 divisors (see below), whose sum is σ = 206348400. Its totient is φ = 46835712.

The previous prime is 100026023. The next prime is 100026053. The reversal of 100026032 is 230620001.

It is a junction number, because it is equal to n+sod(n) for n = 100025998 and 100026016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25208 + ... + 28904.

It is an arithmetic number, because the mean of its divisors is an integer number (5158710).

Almost surely, 2^100026032 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 100026032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103174200).

100026032 is an abundant number, since it is smaller than the sum of its proper divisors (106322368).

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

100026032 is a wasteful number, since it uses less digits than its factorization.

100026032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100026032 is about 10001.3015153029. The cubic root of 100026032 is about 464.1991564804.

Adding to 100026032 its reverse (230620001), we get a palindrome (330646033).

The spelling of 100026032 in words is "one hundred million, twenty-six thousand, thirty-two".