105090053 has 2 divisors, whose sum is σ = 105090054. Its totient is φ = 105090052.

The previous prime is 105090049. The next prime is 105090067. The reversal of 105090053 is 350090501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58400164 + 46689889 = 7642^2 + 6833^2 .

It is an emirp because it is prime and its reverse (350090501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105090053 - 2² = 105090049 is a prime.

It is a super-2 number, since 2×105090053² = 22087838479085618, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105090253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52545026 + 52545027.

It is an arithmetic number, because the mean of its divisors is an integer number (52545027).

Almost surely, 2^105090053 is an apocalyptic number.

It is an amenable number.

105090053 is a deficient number, since it is larger than the sum of its proper divisors (1).

105090053 is an equidigital number, since it uses as much as digits as its factorization.

105090053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 105090053 is about 10251.3439606717. The cubic root of 105090053 is about 471.9042301265.

The spelling of 105090053 in words is "one hundred five million, ninety thousand, fifty-three".