102467128209696 has 36 divisors (see below), whose sum is σ = 291390895847142. Its totient is φ = 34155709403136.

The previous prime is 102467128209679. The next prime is 102467128209703. The reversal of 102467128209696 is 696902821764201.

102467128209696 is a `hidden beast` number, since 1 + 0 + 2 + 467 + 1 + 2 + 82 + 0 + 9 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82886821808400 + 19580306401296 = 9104220^2 + 4424964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177894319521 + ... + 177894320096.

Almost surely, 2^{102467128209696} is an apocalyptic number.

102467128209696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102467128209696 is an abundant number, since it is smaller than the sum of its proper divisors (188923767637446).

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

102467128209696 is a wasteful number, since it uses less digits than its factorization.

102467128209696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355788639633 (or 355788639622 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 102467128209696 in words is "one hundred two trillion, four hundred sixty-seven billion, one hundred twenty-eight million, two hundred nine thousand, six hundred ninety-six".