106505617 has 8 divisors (see below), whose sum is σ = 111397824. Its totient is φ = 101635248.

The previous prime is 106505599. The next prime is 106505627. The reversal of 106505617 is 716505601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106505617 is a prime.

It is a super-2 number, since 2×106505617² = 22686892905101378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106505627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4963 + ... + 15415.

It is an arithmetic number, because the mean of its divisors is an integer number (13924728).

Almost surely, 2^106505617 is an apocalyptic number.

It is an amenable number.

106505617 is a deficient number, since it is larger than the sum of its proper divisors (4892207).

106505617 is a wasteful number, since it uses less digits than its factorization.

106505617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10919.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 106505617 is about 10320.1558612261. The cubic root of 106505617 is about 474.0136385068.

The spelling of 106505617 in words is "one hundred six million, five hundred five thousand, six hundred seventeen".