101958 has 8 divisors (see below), whose sum is σ = 203928. Its totient is φ = 33984.

The previous prime is 101957. The next prime is 101963. The reversal of 101958 is 859101.

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

101958 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8491 + ... + 8502.

It is an arithmetic number, because the mean of its divisors is an integer number (25491).

2¹⁰¹⁹⁵⁸ is an apocalyptic number.

101958 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101958 is a wasteful number, since it uses less digits than its factorization.

101958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16998.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 101958 is about 319.3086281327. The cubic root of 101958 is about 46.7168734029.

The spelling of 101958 in words is "one hundred one thousand, nine hundred fifty-eight".