106332560 has 40 divisors (see below), whose sum is σ = 255753720. Its totient is φ = 41065472.

The previous prime is 106332559. The next prime is 106332571. The reversal of 106332560 is 65233601.

It can be written as a sum of positive squares in 4 ways, for example, as 16386304 + 89946256 = 4048^2 + 9484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106332560² = 22613226632307200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20597 + ... + 25236.

It is an arithmetic number, because the mean of its divisors is an integer number (6393843).

Almost surely, 2^106332560 is an apocalyptic number.

106332560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106332560 is an abundant number, since it is smaller than the sum of its proper divisors (149421160).

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

106332560 is a wasteful number, since it uses less digits than its factorization.

106332560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45875 (or 45869 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 106332560 is about 10311.7680346292. The cubic root of 106332560 is about 473.7567636408.

The spelling of 106332560 in words is "one hundred six million, three hundred thirty-two thousand, five hundred sixty".