101540309 has 8 divisors (see below), whose sum is σ = 110984160. Its totient is φ = 92329776.

The previous prime is 101540297. The next prime is 101540317. The reversal of 101540309 is 903045101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101540309 - 2¹⁶ = 101474773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101540399) 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, 57419 + ... + 59160.

It is an arithmetic number, because the mean of its divisors is an integer number (13873020).

Almost surely, 2^101540309 is an apocalyptic number.

It is an amenable number.

101540309 is a deficient number, since it is larger than the sum of its proper divisors (9443851).

101540309 is a wasteful number, since it uses less digits than its factorization.

101540309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116659.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 101540309 is about 10076.7211433085. The cubic root of 101540309 is about 466.5299113454.

The spelling of 101540309 in words is "one hundred one million, five hundred forty thousand, three hundred nine".