95006900 has 54 divisors (see below), whose sum is σ = 214458930. Its totient is φ = 36489600.

The previous prime is 95006887. The next prime is 95006903. The reversal of 95006900 is 960059.

It can be written as a sum of positive squares in 9 ways, for example, as 82700836 + 12306064 = 9094^2 + 3508^2 .

It is a super-2 number, since 2×95006900² = 18052622095220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95006903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 524810 + ... + 524990.

Almost surely, 2^95006900 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 95006900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107229465).

95006900 is an abundant number, since it is smaller than the sum of its proper divisors (119452030).

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

95006900 is a wasteful number, since it uses less digits than its factorization.

95006900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 95006900 is about 9747.1483009135. The cubic root of 95006900 is about 456.3013102987.

Multiplying 95006900 by its sum of digits (29), we get a square (2755200100 = 52490²).

95006900 divided by its sum of digits (29) gives a square (3276100 = 1810²).

Adding to 95006900 its reverse (960059), we get a palindrome (95966959).

The spelling of 95006900 in words is "ninety-five million, six thousand, nine hundred".