105354252441 has 12 divisors (see below), whose sum is σ = 153111976368. Its totient is φ = 69805270584.

The previous prime is 105354252427. The next prime is 105354252449. The reversal of 105354252441 is 144252453501.

105354252441 is a `hidden beast` number, since 1 + 0 + 53 + 5 + 42 + 524 + 41 = 666.

It is not a de Polignac number, because 105354252441 - 2¹³ = 105354244249 is a prime.

It is a super-2 number, since 2×105354252441² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105354252396 and 105354252405.

It is not an unprimeable number, because it can be changed into a prime (105354252449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35906595 + ... + 35909528.

It is an arithmetic number, because the mean of its divisors is an integer number (12759331364).

Almost surely, 2^105354252441 is an apocalyptic number.

It is an amenable number.

105354252441 is a deficient number, since it is larger than the sum of its proper divisors (47757723927).

105354252441 is a wasteful number, since it uses less digits than its factorization.

105354252441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71816292 (or 71816289 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 105354252441 in words is "one hundred five billion, three hundred fifty-four million, two hundred fifty-two thousand, four hundred forty-one".