95052945240100 has 81 divisors (see below), whose sum is σ = 213629089504467. Its totient is φ = 36709011044160.

The previous prime is 95052945240079. The next prime is 95052945240103. The reversal of 95052945240100 is 104254925059.

The square root of 95052945240100 is 9749510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1306554158116 + 93746391081984 = 1143046^2 + 9682272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95052945240103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2827341091 + ... + 2827374709.

Almost surely, 2^{95052945240100} is an apocalyptic number.

95052945240100 is the 9749510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95052945240100

95052945240100 is an abundant number, since it is smaller than the sum of its proper divisors (118576144264367).

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

95052945240100 is an frugal number, since it uses more digits than its factorization.

95052945240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67310 (or 33655 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 95052945240100 in words is "ninety-five trillion, fifty-two billion, nine hundred forty-five million, two hundred forty thousand, one hundred".