101829 has 16 divisors (see below), whose sum is σ = 167552. Its totient is φ = 53568.

The previous prime is 101807. The next prime is 101833. The reversal of 101829 is 928101.

It is not a de Polignac number, because 101829 - 2⁵ = 101797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (10472).

2¹⁰¹⁸²⁹ is an apocalyptic number.

It is an amenable number.

101829 is a deficient number, since it is larger than the sum of its proper divisors (65723).

101829 is a wasteful number, since it uses less digits than its factorization.

101829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 101829 is about 319.1065652725. The cubic root of 101829 is about 46.6971626067.

The spelling of 101829 in words is "one hundred one thousand, eight hundred twenty-nine".