103311064032 has 192 divisors, whose sum is σ = 299081922048. Its totient is φ = 30965760000.

The previous prime is 103311064001. The next prime is 103311064033. The reversal of 103311064032 is 230460113301.

It is a happy number.

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 = 103311063993 and 103311064011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311064033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40978932 + ... + 40981452.

It is an arithmetic number, because the mean of its divisors is an integer number (1557718344).

Almost surely, 2^103311064032 is an apocalyptic number.

103311064032 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 103311064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149540961024).

103311064032 is an abundant number, since it is smaller than the sum of its proper divisors (195770858016).

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

103311064032 is a wasteful number, since it uses less digits than its factorization.

103311064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2945 counting only the distinct ones).

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

Adding to 103311064032 its reverse (230460113301), we get a palindrome (333771177333).

The spelling of 103311064032 in words is "one hundred three billion, three hundred eleven million, sixty-four thousand, thirty-two".