10106109 has 24 divisors (see below), whose sum is σ = 16648632. Its totient is φ = 5852160.

The previous prime is 10106101. The next prime is 10106111. The reversal of 10106109 is 90160101.

It can be written as a sum of positive squares in 4 ways, for example, as 202500 + 9903609 = 450^2 + 3147^2 .

It is not a de Polignac number, because 10106109 - 2³ = 10106101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10106091 and 10106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106101) 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, 552 + ... + 4529.

It is an arithmetic number, because the mean of its divisors is an integer number (693693).

Almost surely, 2^10106109 is an apocalyptic number.

It is an amenable number.

10106109 is a deficient number, since it is larger than the sum of its proper divisors (6542523).

10106109 is a wasteful number, since it uses less digits than its factorization.

10106109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10106109 is about 3179.0106951692. The cubic root of 10106109 is about 216.2028059218.

The spelling of 10106109 in words is "ten million, one hundred six thousand, one hundred nine".