90105696 has 60 divisors (see below), whose sum is σ = 265005972. Its totient is φ = 30034368.

The previous prime is 90105689. The next prime is 90105703. The reversal of 90105696 is 69650109.

90105696 is a `hidden beast` number, since 90 + 1 + 0 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (90105689) and next prime (90105703).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90105696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14790 + ... + 19973.

Almost surely, 2^90105696 is an apocalyptic number.

90105696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90105696 is an abundant number, since it is smaller than the sum of its proper divisors (174900276).

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

90105696 is a wasteful number, since it uses less digits than its factorization.

90105696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34785 (or 34768 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 90105696 is about 9492.4020142428. The cubic root of 90105696 is about 448.3158380825.

It can be divided in two parts, 9010 and 5696, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 90105696 in words is "ninety million, one hundred five thousand, six hundred ninety-six".