105085408 has 24 divisors (see below), whose sum is σ = 207333000. Its totient is φ = 52429440.

The previous prime is 105085397. The next prime is 105085423. The reversal of 105085408 is 804580501.

It is a super-2 number, since 2×105085408² = 22085885949052928, 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 105085408.

It is a congruent number.

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, 12678 + ... + 19258.

It is an arithmetic number, because the mean of its divisors is an integer number (8638875).

Almost surely, 2^105085408 is an apocalyptic number.

It is an amenable number.

105085408 is a deficient number, since it is larger than the sum of its proper divisors (102247592).

105085408 is an equidigital number, since it uses as much as digits as its factorization.

105085408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 105085408 is about 10251.1174025079. The cubic root of 105085408 is about 471.8972772723.

The spelling of 105085408 in words is "one hundred five million, eighty-five thousand, four hundred eight".