102560408442 has 96 divisors (see below), whose sum is σ = 232885179072. Its totient is φ = 33825786624.

The previous prime is 102560408441. The next prime is 102560408459. The reversal of 102560408442 is 244804065201.

102560408442 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 604 + 0 + 8 + 4 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102560408397 and 102560408406.

It is not an unprimeable number, because it can be changed into a prime (102560408441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41571693 + ... + 41574159.

It is an arithmetic number, because the mean of its divisors is an integer number (2425887282).

Almost surely, 2^102560408442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102560408442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116442589536).

102560408442 is an abundant number, since it is smaller than the sum of its proper divisors (130324770630).

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

102560408442 is a wasteful number, since it uses less digits than its factorization.

102560408442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 102560408442 in words is "one hundred two billion, five hundred sixty million, four hundred eight thousand, four hundred forty-two".