101005309 has 4 divisors (see below), whose sum is σ = 101057404. Its totient is φ = 100953216.

The previous prime is 101005291. The next prime is 101005327. The reversal of 101005309 is 903500101.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (101005291) and next prime (101005327).

It can be written as a sum of positive squares in 2 ways, for example, as 85045284 + 15960025 = 9222^2 + 3995^2 .

It is a cyclic number.

It is not a de Polignac number, because 101005309 - 2⁵ = 101005277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005339) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23022 + ... + 27055.

It is an arithmetic number, because the mean of its divisors is an integer number (25264351).

Almost surely, 2^101005309 is an apocalyptic number.

It is an amenable number.

101005309 is a deficient number, since it is larger than the sum of its proper divisors (52095).

101005309 is an equidigital number, since it uses as much as digits as its factorization.

101005309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52094.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 101005309 is about 10050.1397502721. The cubic root of 101005309 is about 465.7091103943.

The spelling of 101005309 in words is "one hundred one million, five thousand, three hundred nine".