101001305 has 16 divisors (see below), whose sum is σ = 126838224. Its totient is φ = 77126400.

The previous prime is 101001217. The next prime is 101001331. The reversal of 101001305 is 503100101.

It can be written as a sum of positive squares in 8 ways, for example, as 28955161 + 72046144 = 5381^2 + 8488^2 .

It is not a de Polignac number, because 101001305 - 2²⁰ = 99952729 is a prime.

It is a super-2 number, since 2×101001305² = 20402527223406050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4655 + ... + 14955.

It is an arithmetic number, because the mean of its divisors is an integer number (7927389).

Almost surely, 2^101001305 is an apocalyptic number.

It is an amenable number.

101001305 is a deficient number, since it is larger than the sum of its proper divisors (25836919).

101001305 is a wasteful number, since it uses less digits than its factorization.

101001305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396.

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

The square root of 101001305 is about 10049.9405470878. The cubic root of 101001305 is about 465.7029565135.

Adding to 101001305 its reverse (503100101), we get a palindrome (604101406).

The spelling of 101001305 in words is "one hundred one million, one thousand, three hundred five".