102067947744 has 96 divisors (see below), whose sum is σ = 311393859840. Its totient is φ = 28667983872.

The previous prime is 102067947739. The next prime is 102067947749. The reversal of 102067947744 is 447749760201.

It is an interprime number because it is at equal distance from previous prime (102067947739) and next prime (102067947749).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102067947749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247529 + ... + 1326824.

It is an arithmetic number, because the mean of its divisors is an integer number (3243686040).

Almost surely, 2^102067947744 is an apocalyptic number.

102067947744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102067947744 is an abundant number, since it is smaller than the sum of its proper divisors (209325912096).

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

102067947744 is a wasteful number, since it uses less digits than its factorization.

102067947744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574432 (or 2574424 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 102067947744 in words is "one hundred two billion, sixty-seven million, nine hundred forty-seven thousand, seven hundred forty-four".