100320023232 has 448 divisors, whose sum is σ = 348551723520. Its totient is φ = 27894067200.

The previous prime is 100320023207. The next prime is 100320023239. The reversal of 100320023232 is 232320023001.

It is a happy number.

It is a super-2 number, since 2×100320023232² (a number of 23 digits) contains 22 as substring.

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 (100320023239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44724703 + ... + 44726945.

It is an arithmetic number, because the mean of its divisors is an integer number (778017240).

Almost surely, 2^100320023232 is an apocalyptic number.

100320023232 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 100320023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174275861760).

100320023232 is an abundant number, since it is smaller than the sum of its proper divisors (248231700288).

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

100320023232 is a wasteful number, since it uses less digits than its factorization.

100320023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100320023232 its reverse (232320023001), we get a palindrome (332640046233).

The spelling of 100320023232 in words is "one hundred billion, three hundred twenty million, twenty-three thousand, two hundred thirty-two".