102666505461 has 32 divisors (see below), whose sum is σ = 154633715712. Its totient is φ = 60115957440.

The previous prime is 102666505441. The next prime is 102666505471. The reversal of 102666505461 is 164505666201.

It is not a de Polignac number, because 102666505461 - 2²⁹ = 102129634549 is a prime.

It is a super-4 number, since 4×102666505461⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102666505441) 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 31 ways as a sum of consecutive naturals, for example, 128295 + ... + 470948.

It is an arithmetic number, because the mean of its divisors is an integer number (4832303616).

Almost surely, 2^102666505461 is an apocalyptic number.

It is an amenable number.

102666505461 is a deficient number, since it is larger than the sum of its proper divisors (51967210251).

102666505461 is a wasteful number, since it uses less digits than its factorization.

102666505461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599473.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 102666505461 in words is "one hundred two billion, six hundred sixty-six million, five hundred five thousand, four hundred sixty-one".