101585664105 has 16 divisors (see below), whose sum is σ = 162541515840. Its totient is φ = 54177536448.

The previous prime is 101585664097. The next prime is 101585664109. The reversal of 101585664105 is 501466585101.

It is a happy number.

It is not a de Polignac number, because 101585664105 - 2³ = 101585664097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101585664109) 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, 681279 + ... + 816891.

It is an arithmetic number, because the mean of its divisors is an integer number (10158844740).

Almost surely, 2^101585664105 is an apocalyptic number.

101585664105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101585664105 is a deficient number, since it is larger than the sum of its proper divisors (60955851735).

101585664105 is a wasteful number, since it uses less digits than its factorization.

101585664105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185560.

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 101585664105 in words is "one hundred one billion, five hundred eighty-five million, six hundred sixty-four thousand, one hundred five".