105248979 has 48 divisors (see below), whose sum is σ = 173571840. Its totient is φ = 60886080.

The previous prime is 105248971. The next prime is 105248987. The reversal of 105248979 is 979842501.

It is an interprime number because it is at equal distance from previous prime (105248971) and next prime (105248987).

It is not a de Polignac number, because 105248979 - 2³ = 105248971 is a prime.

It is a super-2 number, since 2×105248979² = 22154695161084882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105248971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215874 + ... + 216360.

It is an arithmetic number, because the mean of its divisors is an integer number (3616080).

Almost surely, 2^105248979 is an apocalyptic number.

105248979 is a deficient number, since it is larger than the sum of its proper divisors (68322861).

105248979 is a wasteful number, since it uses less digits than its factorization.

105248979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 105248979 is about 10259.0925037257. The cubic root of 105248979 is about 472.1419947079.

It can be divided in two parts, 10524 and 8979, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 105248979 in words is "one hundred five million, two hundred forty-eight thousand, nine hundred seventy-nine".