102134350864 has 320 divisors, whose sum is σ = 264853048320. Its totient is φ = 37014405120.

The previous prime is 102134350853. The next prime is 102134350933. The reversal of 102134350864 is 468053431201.

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 63 ways as a sum of consecutive naturals, for example, 156407562 + ... + 156408214.

It is an arithmetic number, because the mean of its divisors is an integer number (827665776).

Almost surely, 2^102134350864 is an apocalyptic number.

102134350864 is a gapful number since it is divisible by the number (14) 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 102134350864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132426524160).

102134350864 is an abundant number, since it is smaller than the sum of its proper divisors (162718697456).

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

102134350864 is a wasteful number, since it uses less digits than its factorization.

102134350864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 102134350864 in words is "one hundred two billion, one hundred thirty-four million, three hundred fifty thousand, eight hundred sixty-four".