103657424444288 has 512 divisors, whose sum is σ = 255077365939200. Its totient is φ = 41286795264000.

The previous prime is 103657424444281. The next prime is 103657424444303. The reversal of 103657424444288 is 882444424756301.

It is a self number, because there is not a number n which added to its sum of digits gives 103657424444288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103657424444281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49811351408 + ... + 49811353488.

It is an arithmetic number, because the mean of its divisors is an integer number (498197980350).

Almost surely, 2^{103657424444288} 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 103657424444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127538682969600).

103657424444288 is an abundant number, since it is smaller than the sum of its proper divisors (151419941494912).

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

103657424444288 is a wasteful number, since it uses less digits than its factorization.

103657424444288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 62.

The spelling of 103657424444288 in words is "one hundred three trillion, six hundred fifty-seven billion, four hundred twenty-four million, four hundred forty-four thousand, two hundred eighty-eight".