106443680 has 72 divisors (see below), whose sum is σ = 292551588. Its totient is φ = 36492288.

The previous prime is 106443679. The next prime is 106443683. The reversal of 106443680 is 86344601.

It can be written as a sum of positive squares in 2 ways, for example, as 101042704 + 5400976 = 10052^2 + 2324^2 .

It is a super-2 number, since 2×106443680² = 22660514023884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (106443683) 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 11 ways as a sum of consecutive naturals, for example, 1052 + ... + 14628.

Almost surely, 2^106443680 is an apocalyptic number.

106443680 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 106443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146275794).

106443680 is an abundant number, since it is smaller than the sum of its proper divisors (186107908).

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

106443680 is a wasteful number, since it uses less digits than its factorization.

106443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13606 (or 13591 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 106443680 is about 10317.1546465099. The cubic root of 106443680 is about 473.9217351359.

It can be divided in two parts, 1064 and 43680, that added together give a palindrome (44744).

The spelling of 106443680 in words is "one hundred six million, four hundred forty-three thousand, six hundred eighty".