101305153 has 2 divisors, whose sum is σ = 101305154. Its totient is φ = 101305152.

The previous prime is 101305123. The next prime is 101305177. The reversal of 101305153 is 351503101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82573569 + 18731584 = 9087^2 + 4328^2 .

It is a cyclic number.

It is not a de Polignac number, because 101305153 - 2¹⁷ = 101174081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101305153.

It is not a weakly prime, because it can be changed into another prime (101305123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50652576 + 50652577.

It is an arithmetic number, because the mean of its divisors is an integer number (50652577).

Almost surely, 2^101305153 is an apocalyptic number.

It is an amenable number.

101305153 is a deficient number, since it is larger than the sum of its proper divisors (1).

101305153 is an equidigital number, since it uses as much as digits as its factorization.

101305153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 101305153 is about 10065.0461002422. The cubic root of 101305153 is about 466.1694892694.

Adding to 101305153 its reverse (351503101), we get a palindrome (452808254).

The spelling of 101305153 in words is "one hundred one million, three hundred five thousand, one hundred fifty-three".