106418880 has 224 divisors, whose sum is σ = 382219200. Its totient is φ = 27869184.

The previous prime is 106418869. The next prime is 106418881. The reversal of 106418880 is 88814601.

106418880 is a `hidden beast` number, since 1 + 0 + 641 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×106418880² = 22649956040908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106418881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941704 + ... + 941816.

Almost surely, 2^106418880 is an apocalyptic number.

106418880 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 106418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191109600).

106418880 is an abundant number, since it is smaller than the sum of its proper divisors (275800320).

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

106418880 is a wasteful number, since it uses less digits than its factorization.

106418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 106418880 is about 10315.9526947345. The cubic root of 106418880 is about 473.8849263999.

The spelling of 106418880 in words is "one hundred six million, four hundred eighteen thousand, eight hundred eighty".