101825153 has 2 divisors, whose sum is σ = 101825154. Its totient is φ = 101825152.

The previous prime is 101825107. The next prime is 101825183. The reversal of 101825153 is 351528101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95101504 + 6723649 = 9752^2 + 2593^2 .

It is a cyclic number.

It is not a de Polignac number, because 101825153 - 2¹⁴ = 101808769 is a prime.

It is not a weakly prime, because it can be changed into another prime (101825183) 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, 50912576 + 50912577.

It is an arithmetic number, because the mean of its divisors is an integer number (50912577).

Almost surely, 2^101825153 is an apocalyptic number.

It is an amenable number.

101825153 is a deficient number, since it is larger than the sum of its proper divisors (1).

101825153 is an equidigital number, since it uses as much as digits as its factorization.

101825153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 101825153 is about 10090.8450092150. The cubic root of 101825153 is about 466.9657454161.

The spelling of 101825153 in words is "one hundred one million, eight hundred twenty-five thousand, one hundred fifty-three".