102233020240 has 80 divisors (see below), whose sum is σ = 264802582800. Its totient is φ = 36445925376.

The previous prime is 102233020223. The next prime is 102233020243. The reversal of 102233020240 is 42020332201.

It can be written as a sum of positive squares in 8 ways, for example, as 30224517904 + 72008502336 = 173852^2 + 268344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233020243) 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 15 ways as a sum of consecutive naturals, for example, 1664685 + ... + 1725004.

It is an arithmetic number, because the mean of its divisors is an integer number (3310032285).

Almost surely, 2^102233020240 is an apocalyptic number.

102233020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102233020240 is an abundant number, since it is smaller than the sum of its proper divisors (162569562560).

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

102233020240 is a wasteful number, since it uses less digits than its factorization.

102233020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389744 (or 3389738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 102233020240 its reverse (42020332201), we get a palindrome (144253352441).

The spelling of 102233020240 in words is "one hundred two billion, two hundred thirty-three million, twenty thousand, two hundred forty".