90105678 has 48 divisors (see below), whose sum is σ = 222623856. Its totient is φ = 26092800.

The previous prime is 90105643. The next prime is 90105679. The reversal of 90105678 is 87650109.

90105678 is a `hidden beast` number, since 90 + 1 + 0 + 567 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7348 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (4637997).

Almost surely, 2^90105678 is an apocalyptic number.

90105678 is an abundant number, since it is smaller than the sum of its proper divisors (132518178).

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

90105678 is a wasteful number, since it uses less digits than its factorization.

90105678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22689 (or 22686 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 90105678 is about 9492.4010661160. The cubic root of 90105678 is about 448.3158082298.

The spelling of 90105678 in words is "ninety million, one hundred five thousand, six hundred seventy-eight".