102442400000 has 108 divisors (see below), whose sum is σ = 255591430164. Its totient is φ = 40976640000.

The previous prime is 102442399999. The next prime is 102442400009. The reversal of 102442400000 is 4244201.

It can be written as a sum of positive squares in 6 ways, for example, as 75876007936 + 26566392064 = 275456^2 + 162992^2 .

It is not an unprimeable number, because it can be changed into a prime (102442400009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 735974 + ... + 864026.

Almost surely, 2^102442400000 is an apocalyptic number.

102442400000 is a gapful number since it is divisible by the number (10) 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 102442400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127795715082).

102442400000 is an abundant number, since it is smaller than the sum of its proper divisors (153149030164).

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

102442400000 is an frugal number, since it uses more digits than its factorization.

102442400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128094 (or 128060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 102442400000 its reverse (4244201), we get a palindrome (102446644201).

The spelling of 102442400000 in words is "one hundred two billion, four hundred forty-two million, four hundred thousand".