102134433144330 has 96 divisors (see below), whose sum is σ = 268192963301328. Its totient is φ = 26964755712000.

The previous prime is 102134433144193. The next prime is 102134433144379. The reversal of 102134433144330 is 33441334431201.

102134433144330 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 4 + 4 + 3 + 314 + 4 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66705164986329 + 35429268158001 = 8167323^2 + 5952249^2 .

It is a super-2 number, since 2×102134433144330² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176757490 + ... + 177334370.

Almost surely, 2^{102134433144330} is an apocalyptic number.

102134433144330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102134433144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134096481650664).

102134433144330 is an abundant number, since it is smaller than the sum of its proper divisors (166058530156998).

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

102134433144330 is a wasteful number, since it uses less digits than its factorization.

102134433144330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596472 (or 596469 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 102134433144330 its reverse (33441334431201), we get a palindrome (135575767575531).

The spelling of 102134433144330 in words is "one hundred two trillion, one hundred thirty-four billion, four hundred thirty-three million, one hundred forty-four thousand, three hundred thirty".