101958889 has 2 divisors, whose sum is σ = 101958890. Its totient is φ = 101958888.

The previous prime is 101958887. The next prime is 101958919. The reversal of 101958889 is 988859101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58293225 + 43665664 = 7635^2 + 6608^2 .

It is an emirp because it is prime and its reverse (988859101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101958889 - 2¹ = 101958887 is a prime.

It is a super-2 number, since 2×101958889² = 20791230092228642, which contains 22 as substring.

Together with 101958887, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101958887) 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 as a sum of consecutive naturals, namely, 50979444 + 50979445.

It is an arithmetic number, because the mean of its divisors is an integer number (50979445).

Almost surely, 2^101958889 is an apocalyptic number.

It is an amenable number.

101958889 is a deficient number, since it is larger than the sum of its proper divisors (1).

101958889 is an equidigital number, since it uses as much as digits as its factorization.

101958889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 49.

The square root of 101958889 is about 10097.4694354576. The cubic root of 101958889 is about 467.1700918164.

The spelling of 101958889 in words is "one hundred one million, nine hundred fifty-eight thousand, eight hundred eighty-nine".