106707300 has 288 divisors, whose sum is σ = 387475200. Its totient is φ = 22579200.

The previous prime is 106707299. The next prime is 106707319. The reversal of 106707300 is 3707601.

It is a super-2 number, since 2×106707300² = 22772895746580000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1749270 + ... + 1749330.

It is an arithmetic number, because the mean of its divisors is an integer number (1345400).

Almost surely, 2^106707300 is an apocalyptic number.

106707300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106707300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

106707300 is an abundant number, since it is smaller than the sum of its proper divisors (280767900).

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

106707300 is a wasteful number, since it uses less digits than its factorization.

106707300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 106707300 is about 10329.9225553728. The cubic root of 106707300 is about 474.3126531333.

The spelling of 106707300 in words is "one hundred six million, seven hundred seven thousand, three hundred".