106543680 has 224 divisors, whose sum is σ = 362102400. Its totient is φ = 26492928.

The previous prime is 106543673. The next prime is 106543681. The reversal of 106543680 is 86345601.

It is a super-2 number, since 2×106543680² = 22703111495884800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106543681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197076 + ... + 1197164.

Almost surely, 2^106543680 is an apocalyptic number.

106543680 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 106543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051200).

106543680 is an abundant number, since it is smaller than the sum of its proper divisors (255558720).

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

106543680 is a wasteful number, since it uses less digits than its factorization.

106543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106543680 is about 10321.9998062391. Note that the first 3 decimals coincide. The cubic root of 106543680 is about 474.0700994796.

The spelling of 106543680 in words is "one hundred six million, five hundred forty-three thousand, six hundred eighty".