90150905 has 16 divisors (see below), whose sum is σ = 116862480. Its totient is φ = 66367488.

The previous prime is 90150889. The next prime is 90150959. The reversal of 90150905 is 50905109.

It can be written as a sum of positive squares in 8 ways, for example, as 21724921 + 68425984 = 4661^2 + 8272^2 .

It is a cyclic number.

It is not a de Polignac number, because 90150905 - 2⁴ = 90150889 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20981 + ... + 24909.

It is an arithmetic number, because the mean of its divisors is an integer number (7303905).

Almost surely, 2^90150905 is an apocalyptic number.

It is an amenable number.

90150905 is a deficient number, since it is larger than the sum of its proper divisors (26711575).

90150905 is a wasteful number, since it uses less digits than its factorization.

90150905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300.

The product of its (nonzero) digits is 2025, while the sum is 29.

The square root of 90150905 is about 9494.7830412285. The cubic root of 90150905 is about 448.3908038278.

The spelling of 90150905 in words is "ninety million, one hundred fifty thousand, nine hundred five".