102434113296 has 80 divisors (see below), whose sum is σ = 294337470720. Its totient is φ = 34108283520.

The previous prime is 102434113289. The next prime is 102434113363. The reversal of 102434113296 is 692311434201.

102434113296 is a `hidden beast` number, since 1 + 0 + 2 + 434 + 1 + 132 + 96 = 666.

It is a super-3 number, since 3×102434113296³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102434113296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280521 + ... + 532503.

It is an arithmetic number, because the mean of its divisors is an integer number (3679218384).

Almost surely, 2^102434113296 is an apocalyptic number.

102434113296 is a gapful number since it is divisible by the number (16) 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 102434113296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168735360).

102434113296 is an abundant number, since it is smaller than the sum of its proper divisors (191903357424).

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

102434113296 is a wasteful number, since it uses less digits than its factorization.

102434113296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252941 (or 252929 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 102434113296 its reverse (692311434201), we get a palindrome (794745547497).

The spelling of 102434113296 in words is "one hundred two billion, four hundred thirty-four million, one hundred thirteen thousand, two hundred ninety-six".