101133829 has 8 divisors (see below), whose sum is σ = 105759360. Its totient is φ = 96527376.

The previous prime is 101133803. The next prime is 101133841. The reversal of 101133829 is 928331101.

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 101133829 - 2¹¹ = 101131781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101133797 and 101133806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6687 + ... + 15715.

It is an arithmetic number, because the mean of its divisors is an integer number (13219920).

Almost surely, 2^101133829 is an apocalyptic number.

It is an amenable number.

101133829 is a deficient number, since it is larger than the sum of its proper divisors (4625531).

101133829 is an equidigital number, since it uses as much as digits as its factorization.

101133829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9539.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101133829 is about 10056.5316585789. The cubic root of 101133829 is about 465.9065507322.

The spelling of 101133829 in words is "one hundred one million, one hundred thirty-three thousand, eight hundred twenty-nine".