100123320 has 128 divisors (see below), whose sum is σ = 331361280. Its totient is φ = 24000000.

The previous prime is 100123297. The next prime is 100123321. The reversal of 100123320 is 23321001.

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 = 100123296 and 100123305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132945 + ... + 133695.

It is an arithmetic number, because the mean of its divisors is an integer number (2588760).

Almost surely, 2^100123320 is an apocalyptic number.

100123320 is a gapful number since it is divisible by the number (10) 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 100123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165680640).

100123320 is an abundant number, since it is smaller than the sum of its proper divisors (231237960).

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

100123320 is a wasteful number, since it uses less digits than its factorization.

100123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

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

The square root of 100123320 is about 10006.1641001934. The cubic root of 100123320 is about 464.3496052283.

Adding to 100123320 its reverse (23321001), we get a palindrome (123444321).

The spelling of 100123320 in words is "one hundred million, one hundred twenty-three thousand, three hundred twenty".