95100 has 36 divisors (see below), whose sum is σ = 276024. Its totient is φ = 25280.

The previous prime is 95093. The next prime is 95101. The reversal of 95100 is 159.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 95100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95101) 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 11 ways as a sum of consecutive naturals, for example, 142 + ... + 458.

2⁹⁵¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138012).

95100 is an abundant number, since it is smaller than the sum of its proper divisors (180924).

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

95100 is a wasteful number, since it uses less digits than its factorization.

95100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 95100 is about 308.3828789022. The cubic root of 95100 is about 45.6450309242.

Adding to 95100 its reverse (159), we get a palindrome (95259).

The spelling of 95100 in words is "ninety-five thousand, one hundred".