105383312749 has 72 divisors (see below), whose sum is σ = 138289697280. Its totient is φ = 79604912640.

The previous prime is 105383312693. The next prime is 105383312779. The reversal of 105383312749 is 947213383501.

It is not a de Polignac number, because 105383312749 - 2¹⁹ = 105382788461 is a prime.

It is a super-2 number, since 2×105383312749² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105383312699 and 105383312708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105383312779) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10450692 + ... + 10460770.

It is an arithmetic number, because the mean of its divisors is an integer number (1920690240).

Almost surely, 2^105383312749 is an apocalyptic number.

It is an amenable number.

105383312749 is a deficient number, since it is larger than the sum of its proper divisors (32906384531).

105383312749 is a wasteful number, since it uses less digits than its factorization.

105383312749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10143 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 105383312749 in words is "one hundred five billion, three hundred eighty-three million, three hundred twelve thousand, seven hundred forty-nine".