102586009361 has 8 divisors (see below), whose sum is σ = 112271859648. Its totient is φ = 92960134000.

The previous prime is 102586009333. The next prime is 102586009391. The reversal of 102586009361 is 163900685201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102586009361 - 2⁶ = 102586009297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102586009301) 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, 14990150 + ... + 14996991.

It is an arithmetic number, because the mean of its divisors is an integer number (14033982456).

Almost surely, 2^102586009361 is an apocalyptic number.

102586009361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102586009361 is a deficient number, since it is larger than the sum of its proper divisors (9685850287).

102586009361 is a wasteful number, since it uses less digits than its factorization.

102586009361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29987463.

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 102586009361 in words is "one hundred two billion, five hundred eighty-six million, nine thousand, three hundred sixty-one".