105385273749 has 32 divisors (see below), whose sum is σ = 182226493440. Its totient is φ = 58938871536.

The previous prime is 105385273739. The next prime is 105385273757. The reversal of 105385273749 is 947372583501.

105385273749 is a `hidden beast` number, since 10 + 5 + 38 + 527 + 3 + 74 + 9 = 666.

It is not a de Polignac number, because 105385273749 - 2¹⁷ = 105385142677 is a prime.

It is a super-2 number, since 2×105385273749² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105385273695 and 105385273704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105385273739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5922969 + ... + 5940734.

It is an arithmetic number, because the mean of its divisors is an integer number (5694577920).

Almost surely, 2^105385273749 is an apocalyptic number.

It is an amenable number.

105385273749 is a deficient number, since it is larger than the sum of its proper divisors (76841219691).

105385273749 is a wasteful number, since it uses less digits than its factorization.

105385273749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863766 (or 11863760 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 105385273749 in words is "one hundred five billion, three hundred eighty-five million, two hundred seventy-three thousand, seven hundred forty-nine".