106656160 has 96 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 38507520.

The previous prime is 106656131. The next prime is 106656167. The reversal of 106656160 is 61656601.

It is a super-2 number, since 2×106656160² = 22751072931891200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106656167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97215 + ... + 98305.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^106656160 is an apocalyptic number.

106656160 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 106656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

106656160 is an abundant number, since it is smaller than the sum of its proper divisors (170729312).

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

106656160 is a wasteful number, since it uses less digits than its factorization.

106656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106656160 is about 10327.4469255475. The cubic root of 106656160 is about 474.2368687989.

The spelling of 106656160 in words is "one hundred six million, six hundred fifty-six thousand, one hundred sixty".