102242549808 has 640 divisors, whose sum is σ = 367976448000. Its totient is φ = 26523002880.

The previous prime is 102242549803. The next prime is 102242549821. The reversal of 102242549808 is 808945242201.

102242549808 is a `hidden beast` number, since 1 + 0 + 2 + 24 + 2 + 549 + 80 + 8 = 666.

It is a super-3 number, since 3×102242549808³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102242549803) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244015423 + ... + 244015841.

It is an arithmetic number, because the mean of its divisors is an integer number (574963200).

Almost surely, 2^102242549808 is an apocalyptic number.

102242549808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102242549808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183988224000).

102242549808 is an abundant number, since it is smaller than the sum of its proper divisors (265733898192).

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

102242549808 is a wasteful number, since it uses less digits than its factorization.

102242549808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 102242549808 in words is "one hundred two billion, two hundred forty-two million, five hundred forty-nine thousand, eight hundred eight".