95109943201 has 27 divisors (see below), whose sum is σ = 119838744441. Its totient is φ = 75229618464.

The previous prime is 95109943199. The next prime is 95109943213. The reversal of 95109943201 is 10234990159.

The square root of 95109943201 is 308399.

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 4643741025 + 90466202176 = 68145^2 + 300776^2 .

It is not a de Polignac number, because 95109943201 - 2¹ = 95109943199 is a prime.

It is a super-2 number, since 2×95109943201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95109943261) 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, 28062615 + ... + 28066003.

Almost surely, 2^95109943201 is an apocalyptic number.

95109943201 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

95109943201 is the 308399-th square number.

95109943201 is the 154200-th centered octagonal number.

It is an amenable number.

95109943201 is a deficient number, since it is larger than the sum of its proper divisors (24728801240).

95109943201 is an frugal number, since it uses more digits than its factorization.

95109943201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The spelling of 95109943201 in words is "ninety-five billion, one hundred nine million, nine hundred forty-three thousand, two hundred one".