105219749 has 12 divisors (see below), whose sum is σ = 114700644. Its totient is φ = 96118272.

The previous prime is 105219731. The next prime is 105219757. The reversal of 105219749 is 947912501.

It can be written as a sum of positive squares in 6 ways, for example, as 60730849 + 44488900 = 7793^2 + 6670^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105219749 is a prime.

It is a super-2 number, since 2×105219749² = 22142391159246002, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105218749) 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, 257057 + ... + 257465.

It is an arithmetic number, because the mean of its divisors is an integer number (9558387).

Almost surely, 2^105219749 is an apocalyptic number.

It is an amenable number.

105219749 is a deficient number, since it is larger than the sum of its proper divisors (9480895).

105219749 is an frugal number, since it uses more digits than its factorization.

105219749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 105219749 is about 10257.6678148593. The cubic root of 105219749 is about 472.0982825237.

The spelling of 105219749 in words is "one hundred five million, two hundred nineteen thousand, seven hundred forty-nine".