102618005787125 has 16 divisors (see below), whose sum is σ = 128167559026416. Its totient is φ = 82030117576000.

The previous prime is 102618005787119. The next prime is 102618005787127. The reversal of 102618005787125 is 521787500816201.

It can be written as a sum of positive squares in 8 ways, for example, as 42535323091921 + 60082682695204 = 6521911^2 + 7751302^2 .

It is not a de Polignac number, because 102618005787125 - 2⁸ = 102618005786869 is a prime.

It is a super-2 number, since 2×102618005787125² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102618005787127) 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, 321275006 + ... + 321594255.

It is an arithmetic number, because the mean of its divisors is an integer number (8010472439151).

Almost surely, 2^{102618005787125} is an apocalyptic number.

It is an amenable number.

102618005787125 is a deficient number, since it is larger than the sum of its proper divisors (25549553239291).

102618005787125 is an equidigital number, since it uses as much as digits as its factorization.

102618005787125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642870553 (or 642870543 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 53.

The spelling of 102618005787125 in words is "one hundred two trillion, six hundred eighteen billion, five million, seven hundred eighty-seven thousand, one hundred twenty-five".