102642282400 has 72 divisors (see below), whose sum is σ = 286371983520. Its totient is φ = 35191637760.

The previous prime is 102642282397. The next prime is 102642282409. The reversal of 102642282400 is 4282246201.

It is not an unprimeable number, because it can be changed into a prime (102642282409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9158890 + ... + 9170089.

It is an arithmetic number, because the mean of its divisors is an integer number (3977388660).

Almost surely, 2^102642282400 is an apocalyptic number.

102642282400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102642282400 is an abundant number, since it is smaller than the sum of its proper divisors (183729701120).

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

102642282400 is a wasteful number, since it uses less digits than its factorization.

102642282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18329006 (or 18328993 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 102642282400 in words is "one hundred two billion, six hundred forty-two million, two hundred eighty-two thousand, four hundred".