106813220 has 12 divisors (see below), whose sum is σ = 224307804. Its totient is φ = 42725280.

The previous prime is 106813207. The next prime is 106813229. The reversal of 106813220 is 22318601.

It can be written as a sum of positive squares in 2 ways, for example, as 20286016 + 86527204 = 4504^2 + 9302^2 .

It is a super-2 number, since 2×106813220² = 22818127933536800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106813229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2670311 + ... + 2670350.

It is an arithmetic number, because the mean of its divisors is an integer number (18692317).

Almost surely, 2^106813220 is an apocalyptic number.

106813220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106813220 is an abundant number, since it is smaller than the sum of its proper divisors (117494584).

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

106813220 is a wasteful number, since it uses less digits than its factorization.

106813220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340670 (or 5340668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 106813220 is about 10335.0481372851. The cubic root of 106813220 is about 474.4695389400.

The spelling of 106813220 in words is "one hundred six million, eight hundred thirteen thousand, two hundred twenty".