101141586 has 72 divisors (see below), whose sum is σ = 274558284. Its totient is φ = 26671680.

The previous prime is 101141569. The next prime is 101141591. The reversal of 101141586 is 685141101.

It can be written as a sum of positive squares in 2 ways, for example, as 99500625 + 1640961 = 9975^2 + 1281^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7056 + ... + 15876.

Almost surely, 2^101141586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101141586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137279142).

101141586 is an abundant number, since it is smaller than the sum of its proper divisors (173416698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101141586 is a wasteful number, since it uses less digits than its factorization.

101141586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8856 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 101141586 is about 10056.9173209289. The cubic root of 101141586 is about 465.9184621594.

Adding to 101141586 its reverse (685141101), we get a palindrome (786282687).

The spelling of 101141586 in words is "one hundred one million, one hundred forty-one thousand, five hundred eighty-six".