102967257841 has 8 divisors (see below), whose sum is σ = 120078435200. Its totient is φ = 88257649284.

The previous prime is 102967257829. The next prime is 102967257889. The reversal of 102967257841 is 148752769201.

It is not a de Polignac number, because 102967257841 - 2¹⁹ = 102966733553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102967257241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150097701 + ... + 150098386.

It is an arithmetic number, because the mean of its divisors is an integer number (15009804400).

Almost surely, 2^102967257841 is an apocalyptic number.

It is an amenable number.

102967257841 is a deficient number, since it is larger than the sum of its proper divisors (17111177359).

102967257841 is an frugal number, since it uses more digits than its factorization.

102967257841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300196108 (or 300196094 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 102967257841 in words is "one hundred two billion, nine hundred sixty-seven million, two hundred fifty-seven thousand, eight hundred forty-one".