101949 has 8 divisors (see below), whose sum is σ = 144000. Its totient is φ = 63936.

The previous prime is 101939. The next prime is 101957. The reversal of 101949 is 949101.

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

It is not a de Polignac number, because 101949 - 2⁵ = 101917 is a prime.

101949 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2¹⁰¹⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

101949 is a deficient number, since it is larger than the sum of its proper divisors (42051).

101949 is a wasteful number, since it uses less digits than its factorization.

101949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019.

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 101949 is about 319.2945348734. The cubic root of 101949 is about 46.7154987708.

The spelling of 101949 in words is "one hundred one thousand, nine hundred forty-nine".