100321032 has 96 divisors (see below), whose sum is σ = 304516800. Its totient is φ = 27409536.

The previous prime is 100321003. The next prime is 100321037. The reversal of 100321032 is 230123001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100320999 and 100321017.

It is not an unprimeable number, because it can be changed into a prime (100321037) 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, 25194 + ... + 28902.

It is an arithmetic number, because the mean of its divisors is an integer number (3172050).

Almost surely, 2^100321032 is an apocalyptic number.

100321032 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 100321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152258400).

100321032 is an abundant number, since it is smaller than the sum of its proper divisors (204195768).

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

100321032 is a wasteful number, since it uses less digits than its factorization.

100321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100321032 is about 10016.0387379443. The cubic root of 100321032 is about 464.6550523012.

Adding to 100321032 its reverse (230123001), we get a palindrome (330444033).

The spelling of 100321032 in words is "one hundred million, three hundred twenty-one thousand, thirty-two".