10100909 has 24 divisors (see below), whose sum is σ = 12860568. Its totient is φ = 7862400.

The previous prime is 10100897. The next prime is 10100917. The reversal of 10100909 is 90900101.

It can be written as a sum of positive squares in 4 ways, for example, as 1416100 + 8684809 = 1190^2 + 2947^2 .

It is not a de Polignac number, because 10100909 - 2¹² = 10096813 is a prime.

10100909 is a modest number, since divided by 909 gives 101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64259 + ... + 64415.

It is an arithmetic number, because the mean of its divisors is an integer number (535857).

Almost surely, 2^10100909 is an apocalyptic number.

It is an amenable number.

10100909 is a deficient number, since it is larger than the sum of its proper divisors (2759659).

10100909 is a wasteful number, since it uses less digits than its factorization.

10100909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 10100909 is about 3178.1927254337. The cubic root of 10100909 is about 216.1657178770.

It can be divided in two parts, 10100 and 909, that multiplied together give a square (9180900 = 3030²).

The spelling of 10100909 in words is "ten million, one hundred thousand, nine hundred nine".