101301005 has 32 divisors (see below), whose sum is σ = 136528224. Its totient is φ = 71663616.

The previous prime is 101301001. The next prime is 101301007. The reversal of 101301005 is 500103101.

It can be written as a sum of positive squares in 16 ways, for example, as 218089 + 101082916 = 467^2 + 10054^2 .

It is a cyclic number.

It is not a de Polignac number, because 101301005 - 2² = 101301001 is a prime.

It is a super-2 number, since 2×101301005² = 20523787228020050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101301001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175277 + ... + 175853.

It is an arithmetic number, because the mean of its divisors is an integer number (4266507).

Almost surely, 2^101301005 is an apocalyptic number.

It is an amenable number.

101301005 is a deficient number, since it is larger than the sum of its proper divisors (35227219).

101301005 is a wasteful number, since it uses less digits than its factorization.

101301005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 101301005 is about 10064.8400384706. The cubic root of 101301005 is about 466.1631266531.

Adding to 101301005 its reverse (500103101), we get a palindrome (601404106).

The spelling of 101301005 in words is "one hundred one million, three hundred one thousand, five".