101309829 has 32 divisors (see below), whose sum is σ = 144138240. Its totient is φ = 63201600.

The previous prime is 101309801. The next prime is 101309867. The reversal of 101309829 is 928903101.

It is not a de Polignac number, because 101309829 - 2⁷ = 101309701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101309829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101309029) 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 31 ways as a sum of consecutive naturals, for example, 442287 + ... + 442515.

It is an arithmetic number, because the mean of its divisors is an integer number (4504320).

Almost surely, 2^101309829 is an apocalyptic number.

It is an amenable number.

101309829 is a deficient number, since it is larger than the sum of its proper divisors (42828411).

101309829 is a wasteful number, since it uses less digits than its factorization.

101309829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 101309829 is about 10065.2783866121. The cubic root of 101309829 is about 466.1766615764.

The spelling of 101309829 in words is "one hundred one million, three hundred nine thousand, eight hundred twenty-nine".