102134836224 has 462 divisors, whose sum is σ = 323926573380. Its totient is φ = 32168005632.

The previous prime is 102134836213. The next prime is 102134836277. The reversal of 102134836224 is 422638431201.

102134836224 is a `hidden beast` number, since 1 + 0 + 21 + 3 + 4 + 8 + 3 + 622 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 269484867 + ... + 269485245.

Almost surely, 2^102134836224 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 102134836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161963286690).

102134836224 is an abundant number, since it is smaller than the sum of its proper divisors (221791737156).

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

102134836224 is an frugal number, since it uses more digits than its factorization.

102134836224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 102134836224 in words is "one hundred two billion, one hundred thirty-four million, eight hundred thirty-six thousand, two hundred twenty-four".