102585614147 has 24 divisors (see below), whose sum is σ = 110220181344. Its totient is φ = 95450222592.

The previous prime is 102585614077. The next prime is 102585614149. The reversal of 102585614147 is 741416585201.

It is not a de Polignac number, because 102585614147 - 2¹⁸ = 102585352003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102585614098 and 102585614107.

It is not an unprimeable number, because it can be changed into a prime (102585614149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38319773 + ... + 38322449.

It is an arithmetic number, because the mean of its divisors is an integer number (4592507556).

Almost surely, 2^102585614147 is an apocalyptic number.

102585614147 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102585614147 is a deficient number, since it is larger than the sum of its proper divisors (7634567197).

102585614147 is a wasteful number, since it uses less digits than its factorization.

102585614147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 102585614147 in words is "one hundred two billion, five hundred eighty-five million, six hundred fourteen thousand, one hundred forty-seven".