103031521632 has 288 divisors, whose sum is σ = 330326470656. Its totient is φ = 30244838400.

The previous prime is 103031521627. The next prime is 103031521661. The reversal of 103031521632 is 236125130301.

103031521632 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 1 + 5 + 21 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 103031521596 and 103031521605.

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, 8234293 + ... + 8246795.

It is an arithmetic number, because the mean of its divisors is an integer number (1146966912).

Almost surely, 2^103031521632 is an apocalyptic number.

103031521632 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 103031521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165163235328).

103031521632 is an abundant number, since it is smaller than the sum of its proper divisors (227294949024).

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

103031521632 is a wasteful number, since it uses less digits than its factorization.

103031521632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12634 (or 12623 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 103031521632 its reverse (236125130301), we get a palindrome (339156651933).

The spelling of 103031521632 in words is "one hundred three billion, thirty-one million, five hundred twenty-one thousand, six hundred thirty-two".