100123360 has 48 divisors (see below), whose sum is σ = 241024896. Its totient is φ = 39290368.

The previous prime is 100123351. The next prime is 100123363. The reversal of 100123360 is 63321001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2577 + ... + 14383.

It is an arithmetic number, because the mean of its divisors is an integer number (5021352).

Almost surely, 2^100123360 is an apocalyptic number.

100123360 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 100123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120512448).

100123360 is an abundant number, since it is smaller than the sum of its proper divisors (140901536).

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

100123360 is a wasteful number, since it uses less digits than its factorization.

100123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11875 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 100123360 is about 10006.1660989612. The cubic root of 100123360 is about 464.3496670653.

Adding to 100123360 its reverse (63321001), we get a palindrome (163444361).

The spelling of 100123360 in words is "one hundred million, one hundred twenty-three thousand, three hundred sixty".