100251989 has 2 divisors, whose sum is σ = 100251990. Its totient is φ = 100251988.

The previous prime is 100251979. The next prime is 100251997. The reversal of 100251989 is 989152001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62331025 + 37920964 = 7895^2 + 6158^2 .

It is a cyclic number.

It is not a de Polignac number, because 100251989 - 2⁴ = 100251973 is a prime.

It is a super-2 number, since 2×100251989² = 20100922596912242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100251919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50125994 + 50125995.

It is an arithmetic number, because the mean of its divisors is an integer number (50125995).

Almost surely, 2^100251989 is an apocalyptic number.

It is an amenable number.

100251989 is a deficient number, since it is larger than the sum of its proper divisors (1).

100251989 is an equidigital number, since it uses as much as digits as its factorization.

100251989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 100251989 is about 10012.5915226778. The cubic root of 100251989 is about 464.5484327799.

The spelling of 100251989 in words is "one hundred million, two hundred fifty-one thousand, nine hundred eighty-nine".