102340343133340 has 192 divisors, whose sum is σ = 243254370336768. Its totient is φ = 35910309657600.

The previous prime is 102340343133319. The next prime is 102340343133533. The reversal of 102340343133340 is 43331343043201.

It is a junction number, because it is equal to n+sod(n) for n = 102340343133296 and 102340343133305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221770245 + ... + 222231235.

It is an arithmetic number, because the mean of its divisors is an integer number (1266949845504).

Almost surely, 2^{102340343133340} is an apocalyptic number.

102340343133340 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 102340343133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121627185168384).

102340343133340 is an abundant number, since it is smaller than the sum of its proper divisors (140914027203428).

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

102340343133340 is a wasteful number, since it uses less digits than its factorization.

102340343133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461588 (or 461586 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 102340343133340 its reverse (43331343043201), we get a palindrome (145671686176541).

The spelling of 102340343133340 in words is "one hundred two trillion, three hundred forty billion, three hundred forty-three million, one hundred thirty-three thousand, three hundred forty".