95206805100 has 324 divisors, whose sum is σ = 347317660872. Its totient is φ = 21722342400.

The previous prime is 95206805081. The next prime is 95206805123. The reversal of 95206805100 is 150860259.

It is a happy number.

95206805100 is a `hidden beast` number, since 9 + 520 + 6 + 80 + 51 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1825587 + ... + 1877013.

Almost surely, 2^95206805100 is an apocalyptic number.

95206805100 is a gapful number since it is divisible by the number (90) 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 95206805100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173658830436).

95206805100 is an abundant number, since it is smaller than the sum of its proper divisors (252110855772).

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

95206805100 is a wasteful number, since it uses less digits than its factorization.

95206805100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51486 (or 51465 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 95206805100 its sum of digits (36), we get a square (95206805136 = 308556²).

The spelling of 95206805100 in words is "ninety-five billion, two hundred six million, eight hundred five thousand, one hundred".