105216545641 has 9 divisors (see below), whose sum is σ = 105587304951. Its totient is φ = 104847087072.

The previous prime is 105216545633. The next prime is 105216545719. The reversal of 105216545641 is 146545612501.

The square root of 105216545641 is 324371.

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., 64696466025 + 40520079616 = 254355^2 + 201296^2 .

It is not a de Polignac number, because 105216545641 - 2³ = 105216545633 is a prime.

It is a super-2 number, since 2×105216545641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105216545594 and 105216545603.

It is not an unprimeable number, because it can be changed into a prime (105211545641) 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, 177430641 + ... + 177431233.

Almost surely, 2^105216545641 is an apocalyptic number.

105216545641 is the 324371-st square number.

105216545641 is the 162186-th centered octagonal number.

It is an amenable number.

105216545641 is a deficient number, since it is larger than the sum of its proper divisors (370759310).

105216545641 is an frugal number, since it uses more digits than its factorization.

105216545641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 105216545641 in words is "one hundred five billion, two hundred sixteen million, five hundred forty-five thousand, six hundred forty-one".