102871021824 has 54 divisors (see below), whose sum is σ = 296602523126. Its totient is φ = 34290339840.

The previous prime is 102871021811. The next prime is 102871021831. The reversal of 102871021824 is 428120178201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52730855424 + 50140166400 = 229632^2 + 223920^2 .

It is a super-2 number, since 2×102871021824² (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 22322137 + ... + 22326744.

Almost surely, 2^102871021824 is an apocalyptic number.

It is an amenable number.

102871021824 is an abundant number, since it is smaller than the sum of its proper divisors (193731501302).

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

102871021824 is an equidigital number, since it uses as much as digits as its factorization.

102871021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44648903 (or 44648886 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 102871021824 in words is "one hundred two billion, eight hundred seventy-one million, twenty-one thousand, eight hundred twenty-four".