90954045 has 144 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 36142848.

The previous prime is 90954037. The next prime is 90954067. The reversal of 90954045 is 54045909.

It is not a de Polignac number, because 90954045 - 2³ = 90954037 is a prime.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 544552 + ... + 544718.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^90954045 is an apocalyptic number.

90954045 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90954045 is an abundant number, since it is smaller than the sum of its proper divisors (118185795).

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

90954045 is a wasteful number, since it uses less digits than its factorization.

90954045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90954045 is about 9536.9830135111. The cubic root of 90954045 is about 449.7184164309.

The spelling of 90954045 in words is "ninety million, nine hundred fifty-four thousand, forty-five".