105889376 has 24 divisors (see below), whose sum is σ = 208741680. Its totient is φ = 52875648.

The previous prime is 105889367. The next prime is 105889387. The reversal of 105889376 is 673988501.

It is a happy number.

It is a super-2 number, since 2×105889376² = 22425119899338752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105889376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30245 + ... + 33563.

It is an arithmetic number, because the mean of its divisors is an integer number (8697570).

Almost surely, 2^105889376 is an apocalyptic number.

105889376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105889376 is a deficient number, since it is larger than the sum of its proper divisors (102852304).

105889376 is an equidigital number, since it uses as much as digits as its factorization.

105889376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 105889376 is about 10290.2563622098. The cubic root of 105889376 is about 473.0976560429.

The spelling of 105889376 in words is "one hundred five million, eight hundred eighty-nine thousand, three hundred seventy-six".