106913300 has 36 divisors (see below), whose sum is σ = 249851196. Its totient is φ = 39475200.

The previous prime is 106913273. The next prime is 106913309. The reversal of 106913300 is 3319601.

It can be written as a sum of positive squares in 6 ways, for example, as 14714896 + 92198404 = 3836^2 + 9602^2 .

It is a super-2 number, since 2×106913300² = 22860907433780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106913309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39821 + ... + 42420.

It is an arithmetic number, because the mean of its divisors is an integer number (6940311).

Almost surely, 2^106913300 is an apocalyptic number.

106913300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106913300 is an abundant number, since it is smaller than the sum of its proper divisors (142937896).

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

106913300 is a wasteful number, since it uses less digits than its factorization.

106913300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82268 (or 82261 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 106913300 is about 10339.8887808332. Note that the first 3 decimals coincide. The cubic root of 106913300 is about 474.6176794313.

The spelling of 106913300 in words is "one hundred six million, nine hundred thirteen thousand, three hundred".