106813300 has 36 divisors (see below), whose sum is σ = 252858816. Its totient is φ = 38840800.

The previous prime is 106813297. The next prime is 106813303. The reversal of 106813300 is 3318601.

It is an interprime number because it is at equal distance from previous prime (106813297) and next prime (106813303).

It is a super-2 number, since 2×106813300² = 22818162113780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106813303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47452 + ... + 49651.

It is an arithmetic number, because the mean of its divisors is an integer number (7023856).

Almost surely, 2^106813300 is an apocalyptic number.

106813300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106813300 is an abundant number, since it is smaller than the sum of its proper divisors (146045516).

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

106813300 is a wasteful number, since it uses less digits than its factorization.

106813300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97128 (or 97121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106813300 is about 10335.0520076098. The cubic root of 106813300 is about 474.4696573946.

The spelling of 106813300 in words is "one hundred six million, eight hundred thirteen thousand, three hundred".