106813940 has 24 divisors (see below), whose sum is σ = 224624232. Its totient is φ = 42665600.

The previous prime is 106813937. The next prime is 106813961. The reversal of 106813940 is 49318601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7333264 + 99480676 = 2708^2 + 9974^2 .

It is a super-2 number, since 2×106813940² = 22818435556647200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106813897 and 106813906.

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 7 ways as a sum of consecutive naturals, for example, 12590 + ... + 19290.

It is an arithmetic number, because the mean of its divisors is an integer number (9359343).

Almost surely, 2^106813940 is an apocalyptic number.

106813940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106813940 is an abundant number, since it is smaller than the sum of its proper divisors (117810292).

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

106813940 is a wasteful number, since it uses less digits than its factorization.

106813940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 106813940 is about 10335.0829701556. The cubic root of 106813940 is about 474.4706050294.

The spelling of 106813940 in words is "one hundred six million, eight hundred thirteen thousand, nine hundred forty".