102405237352 has 128 divisors (see below), whose sum is σ = 220625233920. Its totient is φ = 44108064000.

The previous prime is 102405237331. The next prime is 102405237443. The reversal of 102405237352 is 253732504201.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 162290077 + ... + 162290707.

It is an arithmetic number, because the mean of its divisors is an integer number (1723634640).

Almost surely, 2^102405237352 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 102405237352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110312616960).

102405237352 is an abundant number, since it is smaller than the sum of its proper divisors (118219996568).

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

102405237352 is a wasteful number, since it uses less digits than its factorization.

102405237352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 102405237352 in words is "one hundred two billion, four hundred five million, two hundred thirty-seven thousand, three hundred fifty-two".