95920284100 has 27 divisors (see below), whose sum is σ = 208153737421. Its totient is φ = 38366874800.

The previous prime is 95920284073. The next prime is 95920284127. The reversal of 95920284100 is 148202959.

The square root of 95920284100 is 309710.

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

It is an interprime number because it is at equal distance from previous prime (95920284073) and next prime (95920284127).

It can be written as a sum of positive squares in only one way, i.e., 34531302276 + 61388981824 = 185826^2 + 247768^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 3081615 + ... + 3112585.

Almost surely, 2^95920284100 is an apocalyptic number.

95920284100 is the 309710-th square number.

It is an amenable number.

95920284100 is an abundant number, since it is smaller than the sum of its proper divisors (112233453321).

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

95920284100 is an frugal number, since it uses more digits than its factorization.

95920284100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61956 (or 30978 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 95920284100 in words is "ninety-five billion, nine hundred twenty million, two hundred eighty-four thousand, one hundred".