100305389 has 16 divisors (see below), whose sum is σ = 112207680. Its totient is φ = 89107200.

The previous prime is 100305343. The next prime is 100305407. The reversal of 100305389 is 983503001.

It is not a de Polignac number, because 100305389 - 2²⁴ = 83528173 is a prime.

It is a super-2 number, since 2×100305389² = 20122342124882642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100305329) 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 in 15 ways as a sum of consecutive naturals, for example, 142739 + ... + 143439.

It is an arithmetic number, because the mean of its divisors is an integer number (7012980).

Almost surely, 2^100305389 is an apocalyptic number.

100305389 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100305389 is a deficient number, since it is larger than the sum of its proper divisors (11902291).

100305389 is a wasteful number, since it uses less digits than its factorization.

100305389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 100305389 is about 10015.2578099618. The cubic root of 100305389 is about 464.6308999154.

The spelling of 100305389 in words is "one hundred million, three hundred five thousand, three hundred eighty-nine".