102314434410 has 192 divisors, whose sum is σ = 289030000896. Its totient is φ = 25042406400.

The previous prime is 102314434361. The next prime is 102314434457. The reversal of 102314434410 is 14434413201.

102314434410 is a `hidden beast` number, since 1 + 0 + 2 + 314 + 4 + 344 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5167189 + ... + 5186951.

It is an arithmetic number, because the mean of its divisors is an integer number (1505364588).

Almost surely, 2^102314434410 is an apocalyptic number.

102314434410 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 102314434410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144515000448).

102314434410 is an abundant number, since it is smaller than the sum of its proper divisors (186715566486).

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

102314434410 is a wasteful number, since it uses less digits than its factorization.

102314434410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19901 (or 19898 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102314434410 its reverse (14434413201), we get a palindrome (116748847611).

The spelling of 102314434410 in words is "one hundred two billion, three hundred fourteen million, four hundred thirty-four thousand, four hundred ten".