106771200 has 216 divisors, whose sum is σ = 361935168. Its totient is φ = 27709440.

The previous prime is 106771177. The next prime is 106771201. The reversal of 106771200 is 2177601.

It is a super-2 number, since 2×106771200² = 22800178298880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106771201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1286359 + ... + 1286441.

Almost surely, 2^106771200 is an apocalyptic number.

106771200 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 106771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180967584).

106771200 is an abundant number, since it is smaller than the sum of its proper divisors (255163968).

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

106771200 is an equidigital number, since it uses as much as digits as its factorization.

106771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 106771200 is about 10333.0150488616. The cubic root of 106771200 is about 474.4073124821.

The spelling of 106771200 in words is "one hundred six million, seven hundred seventy-one thousand, two hundred".