102034342331334 has 72 divisors (see below), whose sum is σ = 257225821538400. Its totient is φ = 29146136033952.

The previous prime is 102034342331333. The next prime is 102034342331381. The reversal of 102034342331334 is 433133243430201.

102034342331334 is a `hidden beast` number, since 1 + 0 + 203 + 434 + 2 + 3 + 3 + 13 + 3 + 4 = 666.

It is a super-2 number, since 2×102034342331334² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102034342331333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9024109 + ... + 16896840.

It is an arithmetic number, because the mean of its divisors is an integer number (3572580854700).

Almost surely, 2^{102034342331334} is an apocalyptic number.

102034342331334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102034342331334 is an abundant number, since it is smaller than the sum of its proper divisors (155191479207066).

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

102034342331334 is a wasteful number, since it uses less digits than its factorization.

102034342331334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25925434 (or 25925424 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 102034342331334 its reverse (433133243430201), we get a palindrome (535167585761535).

The spelling of 102034342331334 in words is "one hundred two trillion, thirty-four billion, three hundred forty-two million, three hundred thirty-one thousand, three hundred thirty-four".