106893360 has 240 divisors, whose sum is σ = 415973376. Its totient is φ = 24095232.

The previous prime is 106893349. The next prime is 106893383. The reversal of 106893360 is 63398601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106893360² = 22852380824179200, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 639997 + ... + 640163.

Almost surely, 2^106893360 is an apocalyptic number.

106893360 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 106893360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

106893360 is an abundant number, since it is smaller than the sum of its proper divisors (309080016).

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

106893360 is a wasteful number, since it uses less digits than its factorization.

106893360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106893360 is about 10338.9245088645. The cubic root of 106893360 is about 474.5881712069.

The spelling of 106893360 in words is "one hundred six million, eight hundred ninety-three thousand, three hundred sixty".