106116480 has 320 divisors, whose sum is σ = 399880800. Its totient is φ = 26763264.

The previous prime is 106116473. The next prime is 106116497. The reversal of 106116480 is 84611601.

106116480 is a `hidden beast` number, since 1 + 0 + 6 + 11 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×106116480² = 22521414655180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1192276 + ... + 1192364.

Almost surely, 2^106116480 is an apocalyptic number.

106116480 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 106116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199940400).

106116480 is an abundant number, since it is smaller than the sum of its proper divisors (293764320).

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

106116480 is an equidigital number, since it uses as much as digits as its factorization.

106116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106116480 is about 10301.2853566921. The cubic root of 106116480 is about 473.4356365969.

The spelling of 106116480 in words is "one hundred six million, one hundred sixteen thousand, four hundred eighty".