100209473 has 16 divisors (see below), whose sum is σ = 124567296. Its totient is φ = 78494400.

The previous prime is 100209463. The next prime is 100209481. The reversal of 100209473 is 374902001.

100209473 = T₃₁₂ + T₃₁₃ + ... + T₈₅₇.

It is a cyclic number.

It is not a de Polignac number, because 100209473 - 2¹⁴ = 100193089 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (100209463) 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 in 15 ways as a sum of consecutive naturals, for example, 3740 + ... + 14642.

It is an arithmetic number, because the mean of its divisors is an integer number (7785456).

Almost surely, 2^100209473 is an apocalyptic number.

100209473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100209473 is a deficient number, since it is larger than the sum of its proper divisors (24357823).

100209473 is a wasteful number, since it uses less digits than its factorization.

100209473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11024.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 100209473 is about 10010.4681708699. The cubic root of 100209473 is about 464.4827531724.

The spelling of 100209473 in words is "one hundred million, two hundred nine thousand, four hundred seventy-three".