103586587101 has 16 divisors (see below), whose sum is σ = 162488764800. Its totient is φ = 64995505344.

The previous prime is 103586587099. The next prime is 103586587109. The reversal of 103586587101 is 101785685301.

103586587101 is a `hidden beast` number, since 1 + 0 + 3 + 58 + 6 + 587 + 10 + 1 = 666.

It is not a de Polignac number, because 103586587101 - 2¹ = 103586587099 is a prime.

It is a super-3 number, since 3×103586587101³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103586587109) 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, 112838961 + ... + 112839878.

It is an arithmetic number, because the mean of its divisors is an integer number (10155547800).

Almost surely, 2^103586587101 is an apocalyptic number.

It is an amenable number.

103586587101 is a deficient number, since it is larger than the sum of its proper divisors (58902177699).

103586587101 is a wasteful number, since it uses less digits than its factorization.

103586587101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225678865 (or 225678859 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 103586587101 in words is "one hundred three billion, five hundred eighty-six million, five hundred eighty-seven thousand, one hundred one".