106559040 has 224 divisors, whose sum is σ = 392972544. Its totient is φ = 23961600.

The previous prime is 106559029. The next prime is 106559081. The reversal of 106559040 is 40955601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106559040² = 22709658011443200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106558989 and 106559007.

It is an unprimeable number.

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, 678642 + ... + 678798.

Almost surely, 2^106559040 is an apocalyptic number.

106559040 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 106559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196486272).

106559040 is an abundant number, since it is smaller than the sum of its proper divisors (286413504).

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

106559040 is a wasteful number, since it uses less digits than its factorization.

106559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106559040 is about 10322.7438212909. The cubic root of 106559040 is about 474.0928800169.

The spelling of 106559040 in words is "one hundred six million, five hundred fifty-nine thousand, forty".