106324560 has 60 divisors (see below), whose sum is σ = 357075732. Its totient is φ = 28353024.

The previous prime is 106324541. The next prime is 106324601. The reversal of 106324560 is 65423601.

It can be written as a sum of positive squares in 2 ways, for example, as 40908816 + 65415744 = 6396^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×106324560² = 22609824118387200, 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 11 ways as a sum of consecutive naturals, for example, 73117 + ... + 74556.

Almost surely, 2^106324560 is an apocalyptic number.

106324560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106324560 is an abundant number, since it is smaller than the sum of its proper divisors (250751172).

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

106324560 is a wasteful number, since it uses less digits than its factorization.

106324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147692 (or 147683 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106324560 is about 10311.3801210119. The cubic root of 106324560 is about 473.7448822091.

The spelling of 106324560 in words is "one hundred six million, three hundred twenty-four thousand, five hundred sixty".