95259311228106 has 128 divisors (see below), whose sum is σ = 228866223801600. Its totient is φ = 29266942083840.

The previous prime is 95259311228089. The next prime is 95259311228119. The reversal of 95259311228106 is 60182211395259.

95259311228106 is a `hidden beast` number, since 9 + 5 + 2 + 593 + 1 + 12 + 28 + 10 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644558836 + ... + 644706608.

It is an arithmetic number, because the mean of its divisors is an integer number (1788017373450).

Almost surely, 2^{95259311228106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95259311228106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114433111900800).

95259311228106 is an abundant number, since it is smaller than the sum of its proper divisors (133606912573494).

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

95259311228106 is a wasteful number, since it uses less digits than its factorization.

95259311228106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164821 (or 164815 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 95259311228106 in words is "ninety-five trillion, two hundred fifty-nine billion, three hundred eleven million, two hundred twenty-eight thousand, one hundred six".