105351527241 has 9 divisors (see below), whose sum is σ = 152175834759. Its totient is φ = 70233702336.

The previous prime is 105351527221. The next prime is 105351527263. The reversal of 105351527241 is 142725153501.

The square root of 105351527241 is 324579.

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

105351527241 is a `hidden beast` number, since 1 + 0 + 535 + 1 + 52 + 72 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51200375625 + 54151151616 = 226275^2 + 232704^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 105351527241 - 2²¹ = 105349430089 is a prime.

It is a super-2 number, since 2×105351527241² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105351527196 and 105351527205.

It is not an unprimeable number, because it can be changed into a prime (105351527221) 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, 919641 + ... + 1027833.

Almost surely, 2^105351527241 is an apocalyptic number.

105351527241 is the 324579-th square number.

105351527241 is the 162290-th centered octagonal number.

It is an amenable number.

105351527241 is a deficient number, since it is larger than the sum of its proper divisors (46824307518).

105351527241 is an frugal number, since it uses more digits than its factorization.

105351527241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216392 (or 108196 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 105351527241 by its sum of digits (36), we get a square (3792654980676 = 1947474²).

The spelling of 105351527241 in words is "one hundred five billion, three hundred fifty-one million, five hundred twenty-seven thousand, two hundred forty-one".