101150565005 has 24 divisors (see below), whose sum is σ = 141747428088. Its totient is φ = 69090459648.

The previous prime is 101150564987. The next prime is 101150565023. The reversal of 101150565005 is 500565051101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101150564987) and next prime (101150565023).

It can be written as a sum of positive squares in 4 ways, for example, as 31366889449 + 69783675556 = 177107^2 + 264166^2 .

It is not a de Polignac number, because 101150565005 - 2¹⁸ = 101150302861 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740264 + ... + 866193.

It is an arithmetic number, because the mean of its divisors is an integer number (5906142837).

Almost surely, 2^101150565005 is an apocalyptic number.

It is an amenable number.

101150565005 is a deficient number, since it is larger than the sum of its proper divisors (40596863083).

101150565005 is a wasteful number, since it uses less digits than its factorization.

101150565005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606733 (or 1606726 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 101150565005 in words is "one hundred one billion, one hundred fifty million, five hundred sixty-five thousand, five".