102001309 has 8 divisors (see below), whose sum is σ = 110040120. Its totient is φ = 94189056.

The previous prime is 102001279. The next prime is 102001313. The reversal of 102001309 is 903100201.

It can be written as a sum of positive squares in 4 ways, for example, as 54804409 + 47196900 = 7403^2 + 6870^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102001309 - 2¹⁵ = 101968541 is a prime.

It is a Duffinian number.

102001309 is a modest number, since divided by 1309 gives 102 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 102001292 and 102001301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001349) 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 7 ways as a sum of consecutive naturals, for example, 55704 + ... + 57505.

It is an arithmetic number, because the mean of its divisors is an integer number (13755015).

Almost surely, 2^102001309 is an apocalyptic number.

It is an amenable number.

102001309 is a deficient number, since it is larger than the sum of its proper divisors (8038811).

102001309 is a wasteful number, since it uses less digits than its factorization.

102001309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113279.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 102001309 is about 10099.5697433109. The cubic root of 102001309 is about 467.2348715454.

The spelling of 102001309 in words is "one hundred two million, one thousand, three hundred nine".