106839100 has 36 divisors (see below), whose sum is σ = 232407000. Its totient is φ = 42631360.

The previous prime is 106839079. The next prime is 106839181. The reversal of 106839100 is 1938601.

It is a happy number.

It is a super-2 number, since 2×106839100² = 22829186577620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49851 + ... + 51949.

It is an arithmetic number, because the mean of its divisors is an integer number (6455750).

Almost surely, 2^106839100 is an apocalyptic number.

106839100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106839100 is an abundant number, since it is smaller than the sum of its proper divisors (125567900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106839100 is a wasteful number, since it uses less digits than its factorization.

106839100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 106839100 is about 10336.3001117421. The cubic root of 106839100 is about 474.5078559201.

The spelling of 106839100 in words is "one hundred six million, eight hundred thirty-nine thousand, one hundred".