106643712 has 144 divisors (see below), whose sum is σ = 329656320. Its totient is φ = 29976576.

The previous prime is 106643707. The next prime is 106643717. The reversal of 106643712 is 217346601.

It is an interprime number because it is at equal distance from previous prime (106643707) and next prime (106643717).

It is a super-2 number, since 2×106643712² = 22745762618277888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106643712.

It is not an unprimeable number, because it can be changed into a prime (106643717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446089 + ... + 446327.

It is an arithmetic number, because the mean of its divisors is an integer number (2289280).

Almost surely, 2^106643712 is an apocalyptic number.

106643712 is a gapful number since it is divisible by the number (12) 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 106643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

106643712 is an abundant number, since it is smaller than the sum of its proper divisors (223012608).

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

106643712 is an equidigital number, since it uses as much as digits as its factorization.

106643712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 106643712 is about 10326.8442420712. The cubic root of 106643712 is about 474.2184184496.

The spelling of 106643712 in words is "one hundred six million, six hundred forty-three thousand, seven hundred twelve".