90100001 has 4 divisors (see below), whose sum is σ = 92297604. Its totient is φ = 87902400.

The previous prime is 90099991. The next prime is 90100009. The reversal of 90100001 is 10000109.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10000109 = 7 ⋅1428587.

It can be written as a sum of positive squares in 2 ways, for example, as 10086976 + 80013025 = 3176^2 + 8945^2 .

It is a cyclic number.

It is not a de Polignac number, because 90100001 - 2⁶ = 90099937 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 (90100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1098740 + ... + 1098821.

It is an arithmetic number, because the mean of its divisors is an integer number (23074401).

Almost surely, 2^90100001 is an apocalyptic number.

It is an amenable number.

90100001 is a deficient number, since it is larger than the sum of its proper divisors (2197603).

90100001 is a wasteful number, since it uses less digits than its factorization.

90100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197602.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 90100001 is about 9492.1020327428. The cubic root of 90100001 is about 448.3063928324.

The spelling of 90100001 in words is "ninety million, one hundred thousand, one".