103106288432 has 80 divisors (see below), whose sum is σ = 233133888000. Its totient is φ = 44156589120.

The previous prime is 103106288431. The next prime is 103106288501. The reversal of 103106288432 is 234882601301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103106288431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8615669 + ... + 8627627.

It is an arithmetic number, because the mean of its divisors is an integer number (2914173600).

Almost surely, 2^103106288432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103106288432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116566944000).

103106288432 is an abundant number, since it is smaller than the sum of its proper divisors (130027599568).

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

103106288432 is a wasteful number, since it uses less digits than its factorization.

103106288432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13559 (or 13539 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

Adding to 103106288432 its reverse (234882601301), we get a palindrome (337988889733).

The spelling of 103106288432 in words is "one hundred three billion, one hundred six million, two hundred eighty-eight thousand, four hundred thirty-two".