105254353341 has 28 divisors (see below), whose sum is σ = 158423665212. Its totient is φ = 69896411136.

The previous prime is 105254353307. The next prime is 105254353349. The reversal of 105254353341 is 143353452501.

105254353341 is a `hidden beast` number, since 1 + 0 + 525 + 43 + 53 + 3 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78878969316 + 26375384025 = 280854^2 + 162405^2 .

It is not a de Polignac number, because 105254353341 - 2¹⁰ = 105254352317 is a prime.

It is a super-2 number, since 2×105254353341² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105254353296 and 105254353305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105254353349) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 93546 + ... + 468251.

Almost surely, 2^105254353341 is an apocalyptic number.

It is an amenable number.

105254353341 is a deficient number, since it is larger than the sum of its proper divisors (53169311871).

105254353341 is an frugal number, since it uses more digits than its factorization.

105254353341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562072 (or 562057 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 105254353341 in words is "one hundred five billion, two hundred fifty-four million, three hundred fifty-three thousand, three hundred forty-one".