103225327632 has 480 divisors, whose sum is σ = 357119642880. Its totient is φ = 27165818880.

The previous prime is 103225327631. The next prime is 103225327657. The reversal of 103225327632 is 236723522301.

103225327632 is a `hidden beast` number, since 1 + 0 + 3 + 22 + 532 + 76 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103225327631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223915882 + ... + 223916342.

It is an arithmetic number, because the mean of its divisors is an integer number (743999256).

Almost surely, 2^103225327632 is an apocalyptic number.

103225327632 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 103225327632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178559821440).

103225327632 is an abundant number, since it is smaller than the sum of its proper divisors (253894315248).

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

103225327632 is a wasteful number, since it uses less digits than its factorization.

103225327632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 103225327632 its reverse (236723522301), we get a palindrome (339948849933).

The spelling of 103225327632 in words is "one hundred three billion, two hundred twenty-five million, three hundred twenty-seven thousand, six hundred thirty-two".