102434330434128 has 1920 divisors, whose sum is σ = 363426979184640. Its totient is φ = 24537945600000.

The previous prime is 102434330434109. The next prime is 102434330434153. The reversal of 102434330434128 is 821434033434201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 102434330434128.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 408104902003 + ... + 408104902253.

It is an arithmetic number, because the mean of its divisors is an integer number (189284884992).

Almost surely, 2^{102434330434128} 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 102434330434128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181713489592320).

102434330434128 is an abundant number, since it is smaller than the sum of its proper divisors (260992648750512).

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

102434330434128 is a wasteful number, since it uses less digits than its factorization.

102434330434128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

Adding to 102434330434128 its reverse (821434033434201), we get a palindrome (923868363868329).

The spelling of 102434330434128 in words is "one hundred two trillion, four hundred thirty-four billion, three hundred thirty million, four hundred thirty-four thousand, one hundred twenty-eight".