90552101 has 2 divisors, whose sum is σ = 90552102. Its totient is φ = 90552100.

The previous prime is 90552083. The next prime is 90552103. The reversal of 90552101 is 10125509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84916225 + 5635876 = 9215^2 + 2374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90552101 is a prime.

It is a super-3 number, since 3×90552101³ (a number of 25 digits) contains 333 as substring.

Together with 90552103, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_5247212 and since 90552101 and 5247212 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90552103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45276050 + 45276051.

It is an arithmetic number, because the mean of its divisors is an integer number (45276051).

Almost surely, 2^90552101 is an apocalyptic number.

It is an amenable number.

90552101 is a deficient number, since it is larger than the sum of its proper divisors (1).

90552101 is an equidigital number, since it uses as much as digits as its factorization.

90552101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 90552101 is about 9515.8867689774. The cubic root of 90552101 is about 449.0549731551.

The spelling of 90552101 in words is "ninety million, five hundred fifty-two thousand, one hundred one".