102442829208 has 128 divisors (see below), whose sum is σ = 270946944000. Its totient is φ = 32224317440.

The previous prime is 102442829189. The next prime is 102442829257. The reversal of 102442829208 is 802928244201.

It is a super-2 number, since 2×102442829208² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102442829208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30387763 + ... + 30391133.

It is an arithmetic number, because the mean of its divisors is an integer number (2116773000).

Almost surely, 2^102442829208 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 102442829208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135473472000).

102442829208 is an abundant number, since it is smaller than the sum of its proper divisors (168504114792).

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

102442829208 is a wasteful number, since it uses less digits than its factorization.

102442829208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 102442829208 in words is "one hundred two billion, four hundred forty-two million, eight hundred twenty-nine thousand, two hundred eight".