101358 has 16 divisors (see below), whose sum is σ = 225360. Its totient is φ = 33768.

The previous prime is 101347. The next prime is 101359. The reversal of 101358 is 853101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 101358.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101358.

It is not an unprimeable number, because it can be changed into a prime (101359) 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, 885 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (14085).

2¹⁰¹³⁵⁸ is an apocalyptic number.

101358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101358 is an abundant number, since it is smaller than the sum of its proper divisors (124002).

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

101358 is a wasteful number, since it uses less digits than its factorization.

101358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101358 is about 318.3677119307. The cubic root of 101358 is about 46.6250536073.

Adding to 101358 its reverse (853101), we get a palindrome (954459).

The spelling of 101358 in words is "one hundred one thousand, three hundred fifty-eight".