103223110132032 has 224 divisors, whose sum is σ = 302845718716800. Its totient is φ = 30764709273600.

The previous prime is 103223110132019. The next prime is 103223110132063. The reversal of 103223110132032 is 230231011322301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103223110131993 and 103223110132011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2858635194 + ... + 2858671302.

It is an arithmetic number, because the mean of its divisors is an integer number (1351989815700).

Almost surely, 2^{103223110132032} is an apocalyptic number.

103223110132032 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 103223110132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151422859358400).

103223110132032 is an abundant number, since it is smaller than the sum of its proper divisors (199622608584768).

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

103223110132032 is a wasteful number, since it uses less digits than its factorization.

103223110132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58385 (or 58375 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103223110132032 its reverse (230231011322301), we get a palindrome (333454121454333).

The spelling of 103223110132032 in words is "one hundred three trillion, two hundred twenty-three billion, one hundred ten million, one hundred thirty-two thousand, thirty-two".