90126123 has 16 divisors (see below), whose sum is σ = 122488320. Its totient is φ = 58934304.

The previous prime is 90126103. The next prime is 90126137. The reversal of 90126123 is 32162109.

It is not a de Polignac number, because 90126123 - 2¹⁴ = 90109739 is a prime.

It is a super-2 number, since 2×90126123² = 16245436094022258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90126093 and 90126102.

It is not an unprimeable number, because it can be changed into a prime (90126103) 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 15 ways as a sum of consecutive naturals, for example, 37465 + ... + 39797.

It is an arithmetic number, because the mean of its divisors is an integer number (7655520).

Almost surely, 2^90126123 is an apocalyptic number.

90126123 is a deficient number, since it is larger than the sum of its proper divisors (32362197).

90126123 is a wasteful number, since it uses less digits than its factorization.

90126123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 90126123 is about 9493.4779190769. The cubic root of 90126123 is about 448.3497133205.

The spelling of 90126123 in words is "ninety million, one hundred twenty-six thousand, one hundred twenty-three".