99964101241 has 9 divisors (see below), whose sum is σ = 100335712239. Its totient is φ = 99593865000.

The previous prime is 99964101229. The next prime is 99964101247. The reversal of 99964101241 is 14210146999.

The square root of 99964101241 is 316171.

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

It can be written as a sum of positive squares in only one way, i.e., 474324841 + 99489776400 = 21779^2 + 315420^2 .

It is a de Polignac number, because none of the positive numbers 2^k-99964101241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99964101191 and 99964101200.

It is not an unprimeable number, because it can be changed into a prime (99964101247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133107616 + ... + 133108366.

It is an arithmetic number, because the mean of its divisors is an integer number (11148412471).

Almost surely, 2^99964101241 is an apocalyptic number.

99964101241 is the 316171-st square number.

99964101241 is the 158086-th centered octagonal number.

It is an amenable number.

99964101241 is a deficient number, since it is larger than the sum of its proper divisors (371610998).

99964101241 is an frugal number, since it uses more digits than its factorization.

99964101241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 99964101241 in words is "ninety-nine billion, nine hundred sixty-four million, one hundred one thousand, two hundred forty-one".