106026561 has 12 divisors (see below), whose sum is σ = 153238800. Its totient is φ = 70643160.

The previous prime is 106026551. The next prime is 106026577. The reversal of 106026561 is 165620601.

It is a happy number.

106026561 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 656 + 1 = 666.

It is not a de Polignac number, because 106026561 - 2²⁵ = 72472129 is a prime.

It is a super-2 number, since 2×106026561² = 22483263274973442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106026521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27906 + ... + 31476.

It is an arithmetic number, because the mean of its divisors is an integer number (12769900).

Almost surely, 2^106026561 is an apocalyptic number.

It is an amenable number.

106026561 is a deficient number, since it is larger than the sum of its proper divisors (47212239).

106026561 is a wasteful number, since it uses less digits than its factorization.

106026561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106026561 is about 10296.9199763813. The cubic root of 106026561 is about 473.3018751272.

The spelling of 106026561 in words is "one hundred six million, twenty-six thousand, five hundred sixty-one".