106027680 has 192 divisors, whose sum is σ = 373621248. Its totient is φ = 25052160.

The previous prime is 106027673. The next prime is 106027697. The reversal of 106027680 is 86720601.

It is a happy number.

It is a super-3 number, since 3×106027680³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226807 + ... + 227273.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^106027680 is an apocalyptic number.

106027680 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 106027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

106027680 is an abundant number, since it is smaller than the sum of its proper divisors (267593568).

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

106027680 is a wasteful number, since it uses less digits than its factorization.

106027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106027680 is about 10296.9743128746. The cubic root of 106027680 is about 473.3035401909.

The spelling of 106027680 in words is "one hundred six million, twenty-seven thousand, six hundred eighty".