106764300 has 108 divisors (see below), whose sum is σ = 336601720. Its totient is φ = 28304640.

The previous prime is 106764293. The next prime is 106764323. The reversal of 106764300 is 3467601.

106764300 is a `hidden beast` number, since 10 + 6 + 7 + 643 + 0 + 0 = 666.

It is a super-2 number, since 2×106764300² = 22797231508980000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281511 + ... + 281889.

Almost surely, 2^106764300 is an apocalyptic number.

106764300 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 106764300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168300860).

106764300 is an abundant number, since it is smaller than the sum of its proper divisors (229837420).

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

106764300 is a wasteful number, since it uses less digits than its factorization.

106764300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106764300 is about 10332.6811622154. The cubic root of 106764300 is about 474.3970928693.

The spelling of 106764300 in words is "one hundred six million, seven hundred sixty-four thousand, three hundred".