106936020 has 72 divisors (see below), whose sum is σ = 329251104. Its totient is φ = 28087488.

The previous prime is 106936013. The next prime is 106936061. The reversal of 106936020 is 20639601.

It is a happy number.

106936020 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106936020² = 22870624746880800, which contains 22 as substring.

106936020 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7627 + ... + 16493.

It is an arithmetic number, because the mean of its divisors is an integer number (4572932).

Almost surely, 2^106936020 is an apocalyptic number.

106936020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106936020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164625552).

106936020 is an abundant number, since it is smaller than the sum of its proper divisors (222315084).

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

106936020 is a wasteful number, since it uses less digits than its factorization.

106936020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8949 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106936020 is about 10340.9873803230. The cubic root of 106936020 is about 474.6512971692.

The spelling of 106936020 in words is "one hundred six million, nine hundred thirty-six thousand, twenty".