100123103232 has 156 divisors (see below), whose sum is σ = 292468337460. Its totient is φ = 32998293504.

The previous prime is 100123103231. The next prime is 100123103237. The reversal of 100123103232 is 232301321001.

It can be written as a sum of positive squares in 2 ways, for example, as 5987045376 + 94136057856 = 77376^2 + 306816^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123103231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3265638 + ... + 3296154.

It is an arithmetic number, because the mean of its divisors is an integer number (1874797035).

Almost surely, 2^100123103232 is an apocalyptic number.

100123103232 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 100123103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146234168730).

100123103232 is an abundant number, since it is smaller than the sum of its proper divisors (192345234228).

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

100123103232 is an equidigital number, since it uses as much as digits as its factorization.

100123103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30636 (or 30611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100123103232 its reverse (232301321001), we get a palindrome (332424424233).

The spelling of 100123103232 in words is "one hundred billion, one hundred twenty-three million, one hundred three thousand, two hundred thirty-two".