101500 has 48 divisors (see below), whose sum is σ = 262080. Its totient is φ = 33600.

The previous prime is 101489. The next prime is 101501. The reversal of 101500 is 5101.

101500 = T₃₀ + T₃₁ + ... + T₈₅.

101500 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a zygodrome in base 2 and base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101501) 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, 3486 + ... + 3514.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2¹⁰¹⁵⁰⁰ is an apocalyptic number.

101500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

101500 is an abundant number, since it is smaller than the sum of its proper divisors (160580).

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

101500 is a wasteful number, since it uses less digits than its factorization.

101500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 101500 is about 318.5906464415. The cubic root of 101500 is about 46.6468169549.

Adding to 101500 its reverse (5101), we get a palindrome (106601).

The spelling of 101500 in words is "one hundred one thousand, five hundred".