105948872 has 16 divisors (see below), whose sum is σ = 200478300. Its totient is φ = 52488000.

The previous prime is 105948853. The next prime is 105948877. The reversal of 105948872 is 278849501.

It can be written as a sum of positive squares in 2 ways, for example, as 104325796 + 1623076 = 10214^2 + 1274^2 .

It is a super-2 number, since 2×105948872² = 22450326956144768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105948877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59879 + ... + 61622.

Almost surely, 2^105948872 is an apocalyptic number.

It is an amenable number.

105948872 is a deficient number, since it is larger than the sum of its proper divisors (94529428).

105948872 is a wasteful number, since it uses less digits than its factorization.

105948872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121616 (or 121612 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 105948872 is about 10293.1468463245. The cubic root of 105948872 is about 473.1862458182.

The spelling of 105948872 in words is "one hundred five million, nine hundred forty-eight thousand, eight hundred seventy-two".