100146289 has 2 divisors, whose sum is σ = 100146290. Its totient is φ = 100146288.

The previous prime is 100146199. The next prime is 100146311. The reversal of 100146289 is 982641001.

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., 86397025 + 13749264 = 9295^2 + 3708^2 .

It is a cyclic number.

It is not a de Polignac number, because 100146289 - 2¹³ = 100138097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100146289.

It is not a weakly prime, because it can be changed into another prime (100140289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50073144 + 50073145.

It is an arithmetic number, because the mean of its divisors is an integer number (50073145).

Almost surely, 2^100146289 is an apocalyptic number.

It is an amenable number.

100146289 is a deficient number, since it is larger than the sum of its proper divisors (1).

100146289 is an equidigital number, since it uses as much as digits as its factorization.

100146289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 100146289 is about 10007.3117768959. The cubic root of 100146289 is about 464.3851108781.

The spelling of 100146289 in words is "one hundred million, one hundred forty-six thousand, two hundred eighty-nine".