106561056 has 48 divisors (see below), whose sum is σ = 319685184. Its totient is φ = 30445824.

The previous prime is 106561031. The next prime is 106561061. The reversal of 106561056 is 650165601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106561056² = 22710517311670272, 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, 78615 + ... + 79958.

It is an arithmetic number, because the mean of its divisors is an integer number (6660108).

Almost surely, 2^106561056 is an apocalyptic number.

106561056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106561056 is an abundant number, since it is smaller than the sum of its proper divisors (213124128).

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

106561056 is a wasteful number, since it uses less digits than its factorization.

106561056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158593 (or 158585 counting only the distinct ones).

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

The square root of 106561056 is about 10322.8414692855. The cubic root of 106561056 is about 474.0958697999.

The spelling of 106561056 in words is "one hundred six million, five hundred sixty-one thousand, fifty-six".