106459360 has 144 divisors (see below), whose sum is σ = 301299264. Its totient is φ = 35417088.

The previous prime is 106459349. The next prime is 106459393. The reversal of 106459360 is 63954601.

It is a super-2 number, since 2×106459360² = 22667190663219200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 289897 + ... + 290263.

It is an arithmetic number, because the mean of its divisors is an integer number (2092356).

Almost surely, 2^106459360 is an apocalyptic number.

106459360 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 106459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150649632).

106459360 is an abundant number, since it is smaller than the sum of its proper divisors (194839904).

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

106459360 is a wasteful number, since it uses less digits than its factorization.

106459360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 106459360 is about 10317.9145179634. The cubic root of 106459360 is about 473.9450048060.

The spelling of 106459360 in words is "one hundred six million, four hundred fifty-nine thousand, three hundred sixty".