100123380 has 144 divisors (see below), whose sum is σ = 349614720. Its totient is φ = 22719744.

The previous prime is 100123363. The next prime is 100123403. The reversal of 100123380 is 83321001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288367 + ... + 288713.

It is an arithmetic number, because the mean of its divisors is an integer number (2427880).

Almost surely, 2^100123380 is an apocalyptic number.

100123380 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 100123380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174807360).

100123380 is an abundant number, since it is smaller than the sum of its proper divisors (249491340).

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

100123380 is a wasteful number, since it uses less digits than its factorization.

100123380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100123380 is about 10006.1670983449. The cubic root of 100123380 is about 464.3496979839.

Adding to 100123380 its reverse (83321001), we get a palindrome (183444381).

The spelling of 100123380 in words is "one hundred million, one hundred twenty-three thousand, three hundred eighty".