101947329 has 20 divisors (see below), whose sum is σ = 166137840. Its totient is φ = 61785720.

The previous prime is 101947327. The next prime is 101947333. The reversal of 101947329 is 923749101.

It is not a de Polignac number, because 101947329 - 2¹ = 101947327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101947293 and 101947302.

It is not an unprimeable number, because it can be changed into a prime (101947327) 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 19 ways as a sum of consecutive naturals, for example, 56319 + ... + 58100.

It is an arithmetic number, because the mean of its divisors is an integer number (8306892).

Almost surely, 2^101947329 is an apocalyptic number.

It is an amenable number.

101947329 is a deficient number, since it is larger than the sum of its proper divisors (64190511).

101947329 is a wasteful number, since it uses less digits than its factorization.

101947329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114442 (or 114433 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 101947329 is about 10096.8969985833. The cubic root of 101947329 is about 467.1524353850.

The spelling of 101947329 in words is "one hundred one million, nine hundred forty-seven thousand, three hundred twenty-nine".