102305146240 has 128 divisors (see below), whose sum is σ = 269450699040. Its totient is φ = 36833280000.

The previous prime is 102305146219. The next prime is 102305146247. The reversal of 102305146240 is 42641503201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×102305146240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102305146199 and 102305146208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102305146247) 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, 639100 + ... + 782980.

Almost surely, 2^102305146240 is an apocalyptic number.

102305146240 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 102305146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134725349520).

102305146240 is an abundant number, since it is smaller than the sum of its proper divisors (167145552800).

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

102305146240 is a wasteful number, since it uses less digits than its factorization.

102305146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144012 (or 144000 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 102305146240 its reverse (42641503201), we get a palindrome (144946649441).

The spelling of 102305146240 in words is "one hundred two billion, three hundred five million, one hundred forty-six thousand, two hundred forty".