105854368 has 24 divisors (see below), whose sum is σ = 209808900. Its totient is φ = 52571968.

The previous prime is 105854317. The next prime is 105854383. The reversal of 105854368 is 863458501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 79352464 = 5148^2 + 8908^2 .

It is a super-3 number, since 3×105854368³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105854368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 710358 + ... + 710506.

Almost surely, 2^105854368 is an apocalyptic number.

It is an amenable number.

105854368 is a deficient number, since it is larger than the sum of its proper divisors (103954532).

105854368 is an frugal number, since it uses more digits than its factorization.

105854368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 105854368 is about 10288.5551949727. Note that the first 3 decimals coincide. The cubic root of 105854368 is about 473.0455134865.

The spelling of 105854368 in words is "one hundred five million, eight hundred fifty-four thousand, three hundred sixty-eight".