95095457856100 has 81 divisors (see below), whose sum is σ = 223454797042113. Its totient is φ = 35111700973440.

The previous prime is 95095457856031. The next prime is 95095457856221. The reversal of 95095457856100 is 165875459059.

The square root of 95095457856100 is 9751690.

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

It can be written as a sum of positive squares in 13 ways, for example, as 38841737794596 + 56253720061504 = 6232314^2 + 7500248^2 .

It is a super-2 number, since 2×95095457856100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1267682194 + ... + 1267757206.

Almost surely, 2^{95095457856100} is an apocalyptic number.

95095457856100 is the 9751690-th square number.

It is an amenable number.

95095457856100 is an abundant number, since it is smaller than the sum of its proper divisors (128359339186013).

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

95095457856100 is an frugal number, since it uses more digits than its factorization.

95095457856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150066 (or 75033 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 64.

The spelling of 95095457856100 in words is "ninety-five trillion, ninety-five billion, four hundred fifty-seven million, eight hundred fifty-six thousand, one hundred".