106918800 has 120 divisors (see below), whose sum is σ = 345498720. Its totient is φ = 28262400.

The previous prime is 106918771. The next prime is 106918811. The reversal of 106918800 is 8819601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106918800² = 22863259586880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166480 + ... + 167120.

It is an arithmetic number, because the mean of its divisors is an integer number (2879156).

Almost surely, 2^106918800 is an apocalyptic number.

106918800 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 106918800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172749360).

106918800 is an abundant number, since it is smaller than the sum of its proper divisors (238579920).

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

106918800 is a wasteful number, since it uses less digits than its factorization.

106918800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 106918800 is about 10340.1547377203. The cubic root of 106918800 is about 474.6258179649.

It can be divided in two parts, 10691 and 8800, that added together give a palindrome (19491).

The spelling of 106918800 in words is "one hundred six million, nine hundred eighteen thousand, eight hundred".