106813320 has 32 divisors (see below), whose sum is σ = 320440320. Its totient is φ = 28483520.

The previous prime is 106813319. The next prime is 106813373. The reversal of 106813320 is 23318601.

It is a super-2 number, since 2×106813320² = 22818170658844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444936 + ... + 445175.

It is an arithmetic number, because the mean of its divisors is an integer number (10013760).

Almost surely, 2^106813320 is an apocalyptic number.

106813320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106813320 is an abundant number, since it is smaller than the sum of its proper divisors (213627000).

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

106813320 is a wasteful number, since it uses less digits than its factorization.

106813320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890125 (or 890121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106813320 is about 10335.0529751908. The cubic root of 106813320 is about 474.4696870083.

The spelling of 106813320 in words is "one hundred six million, eight hundred thirteen thousand, three hundred twenty".