100730032 has 80 divisors (see below), whose sum is σ = 226672992. Its totient is φ = 42946560.

The previous prime is 100730029. The next prime is 100730033. The reversal of 100730032 is 230037001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100729988 and 100730015.

It is not an unprimeable number, because it can be changed into a prime (100730033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215463 + ... + 215929.

Almost surely, 2^100730032 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 100730032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113336496).

100730032 is an abundant number, since it is smaller than the sum of its proper divisors (125942960).

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

100730032 is a wasteful number, since it uses less digits than its factorization.

100730032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 100730032 is about 10036.4352237236. The cubic root of 100730032 is about 465.2856486707.

Adding to 100730032 its reverse (230037001), we get a palindrome (330767033).

The spelling of 100730032 in words is "one hundred million, seven hundred thirty thousand, thirty-two".