95166080100 has 729 divisors, whose sum is σ = 379093238433. Its totient is φ = 19901306880.

The previous prime is 95166080077. The next prime is 95166080221. The reversal of 95166080100 is 108066159.

The square root of 95166080100 is 308490.

It is a perfect power (a square), and thus also a powerful number.

95166080100 is a `hidden beast` number, since 9 + 516 + 60 + 80 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 80777597796 + 14388482304 = 284214^2 + 119952^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 842177644 + ... + 842177756.

Almost surely, 2^95166080100 is an apocalyptic number.

95166080100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95166080100 is the 308490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95166080100

95166080100 is an abundant number, since it is smaller than the sum of its proper divisors (283927158333).

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

95166080100 is a wasteful number, since it uses less digits than its factorization.

95166080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 95166080100 by its sum of digits (36), we get a square (3425978883600 = 1850940²).

95166080100 divided by its sum of digits (36) gives a square (2643502225 = 51415²).

The spelling of 95166080100 in words is "ninety-five billion, one hundred sixty-six million, eighty thousand, one hundred".