90042755121 has 18 divisors (see below), whose sum is σ = 142960445810. Its totient is φ = 54571366080.

The previous prime is 90042755107. The next prime is 90042755161. The reversal of 90042755121 is 12155724009.

It can be written as a sum of positive squares in only one way, i.e., 63981173025 + 26061582096 = 252945^2 + 161436^2 .

It is not a de Polignac number, because 90042755121 - 2⁶ = 90042755057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90042755161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41340856 + ... + 41343033.

Almost surely, 2^90042755121 is an apocalyptic number.

It is an amenable number.

90042755121 is a deficient number, since it is larger than the sum of its proper divisors (52917690689).

90042755121 is a wasteful number, since it uses less digits than its factorization.

90042755121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82683917 (or 82683903 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 90042755121 in words is "ninety billion, forty-two million, seven hundred fifty-five thousand, one hundred twenty-one".