105054422641 has 27 divisors (see below), whose sum is σ = 129029535819. Its totient is φ = 85272345648.

The previous prime is 105054422591. The next prime is 105054422689. The reversal of 105054422641 is 146224450501.

The square root of 105054422641 is 324121.

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., 98938557025 + 6115865616 = 314545^2 + 78204^2 .

It is not a de Polignac number, because 105054422641 - 2³¹ = 102906938993 is a prime.

It is a super-2 number, since 2×105054422641² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105054422597 and 105054422606.

It is not an unprimeable number, because it can be changed into a prime (105054422141) 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, 43106875 + ... + 43109311.

It is an arithmetic number, because the mean of its divisors is an integer number (4778871697).

Almost surely, 2^105054422641 is an apocalyptic number.

105054422641 is the 324121-st square number.

105054422641 is the 162061-st centered octagonal number.

It is an amenable number.

105054422641 is a deficient number, since it is larger than the sum of its proper divisors (23975113178).

105054422641 is an frugal number, since it uses more digits than its factorization.

105054422641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 105054422641 in words is "one hundred five billion, fifty-four million, four hundred twenty-two thousand, six hundred forty-one".