102185349344 has 96 divisors (see below), whose sum is σ = 224724780000. Its totient is φ = 45413996544.

The previous prime is 102185349337. The next prime is 102185349349. The reversal of 102185349344 is 443943581201.

It is a junction number, because it is equal to n+sod(n) for n = 102185349295 and 102185349304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102185349349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4561082 + ... + 4583430.

It is an arithmetic number, because the mean of its divisors is an integer number (2340883125).

Almost surely, 2^102185349344 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 102185349344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112362390000).

102185349344 is an abundant number, since it is smaller than the sum of its proper divisors (122539430656).

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

102185349344 is a wasteful number, since it uses less digits than its factorization.

102185349344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22780 (or 22772 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 102185349344 in words is "one hundred two billion, one hundred eighty-five million, three hundred forty-nine thousand, three hundred forty-four".