103901628887424 has 320 divisors, whose sum is σ = 310279349191680. Its totient is φ = 34514237721600.

The previous prime is 103901628887423. The next prime is 103901628887477. The reversal of 103901628887424 is 424788826109301.

It is a happy number.

103901628887424 is a `hidden beast` number, since 1 + 0 + 390 + 162 + 8 + 8 + 87 + 4 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103901628887423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4070889127 + ... + 4070914649.

It is an arithmetic number, because the mean of its divisors is an integer number (969622966224).

Almost surely, 2^{103901628887424} 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 103901628887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155139674595840).

103901628887424 is an abundant number, since it is smaller than the sum of its proper divisors (206377720304256).

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

103901628887424 is an equidigital number, since it uses as much as digits as its factorization.

103901628887424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26891 (or 26870 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 103901628887424 in words is "one hundred three trillion, nine hundred one billion, six hundred twenty-eight million, eight hundred eighty-seven thousand, four hundred twenty-four".