102267426132704 has 48 divisors (see below), whose sum is σ = 231387193296000. Its totient is φ = 43584042724224.

The previous prime is 102267426132661. The next prime is 102267426132709. The reversal of 102267426132704 is 407231624762201.

102267426132704 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102267426132709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1275242054 + ... + 1275322245.

It is an arithmetic number, because the mean of its divisors is an integer number (4820566527000).

Almost surely, 2^{102267426132704} is an apocalyptic number.

102267426132704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102267426132704 is an abundant number, since it is smaller than the sum of its proper divisors (129119767163296).

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

102267426132704 is a wasteful number, since it uses less digits than its factorization.

102267426132704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550564495 (or 2550564487 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 102267426132704 in words is "one hundred two trillion, two hundred sixty-seven billion, four hundred twenty-six million, one hundred thirty-two thousand, seven hundred four".