102271032864 has 864 divisors, whose sum is σ = 412402850496. Its totient is φ = 24507463680.

The previous prime is 102271032839. The next prime is 102271032907. The reversal of 102271032864 is 468230172201.

It is a happy number.

102271032864 is a `hidden beast` number, since 1 + 0 + 2 + 271 + 0 + 328 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 54485494 + ... + 54487370.

It is an arithmetic number, because the mean of its divisors is an integer number (477318114).

Almost surely, 2^102271032864 is an apocalyptic number.

102271032864 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 102271032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206201425248).

102271032864 is an abundant number, since it is smaller than the sum of its proper divisors (310131817632).

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

102271032864 is a wasteful number, since it uses less digits than its factorization.

102271032864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 102271032864 in words is "one hundred two billion, two hundred seventy-one million, thirty-two thousand, eight hundred sixty-four".