105286904 has 64 divisors (see below), whose sum is σ = 216736800. Its totient is φ = 47775744.

The previous prime is 105286903. The next prime is 105286931. The reversal of 105286904 is 409682501.

It is a super-2 number, since 2×105286904² = 22170664307810432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105286901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 545432 + ... + 545624.

Almost surely, 2^105286904 is an apocalyptic number.

It is an amenable number.

105286904 is an abundant number, since it is smaller than the sum of its proper divisors (111449896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105286904 is a wasteful number, since it uses less digits than its factorization.

105286904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 105286904 is about 10260.9406976164. The cubic root of 105286904 is about 472.1986978229.

The spelling of 105286904 in words is "one hundred five million, two hundred eighty-six thousand, nine hundred four".