106413561 has 8 divisors (see below), whose sum is σ = 157649760. Its totient is φ = 70942356.

The previous prime is 106413529. The next prime is 106413563. The reversal of 106413561 is 165314601.

106413561 is a `hidden beast` number, since 10 + 641 + 3 + 5 + 6 + 1 = 666.

It is not a de Polignac number, because 106413561 - 2⁵ = 106413529 is a prime.

It is a super-2 number, since 2×106413561² = 22647691929401442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3941243 = 106413561 / (1 + 0 + 6 + 4 + 1 + 3 + 5 + 6 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106413563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1970595 + ... + 1970648.

It is an arithmetic number, because the mean of its divisors is an integer number (19706220).

Almost surely, 2^106413561 is an apocalyptic number.

It is an amenable number.

106413561 is a deficient number, since it is larger than the sum of its proper divisors (51236199).

106413561 is an equidigital number, since it uses as much as digits as its factorization.

106413561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941252 (or 3941246 counting only the distinct ones).

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

The square root of 106413561 is about 10315.6948869187. The cubic root of 106413561 is about 473.8770310718.

It can be divided in two parts, 10 and 6413561, that added together give a triangular number (6413571 = T₃₅₈₁).

The spelling of 106413561 in words is "one hundred six million, four hundred thirteen thousand, five hundred sixty-one".