106005011657 has 8 divisors (see below), whose sum is σ = 112249135656. Its totient is φ = 99761836032.

The previous prime is 106005011653. The next prime is 106005011659. The reversal of 106005011657 is 756110500601.

It can be written as a sum of positive squares in 4 ways, for example, as 90443946121 + 15561065536 = 300739^2 + 124744^2 .

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

It is not a de Polignac number, because 106005011657 - 2² = 106005011653 is a prime.

It is a super-2 number, since 2×106005011657² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106005011653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188 + ... + 460445.

It is an arithmetic number, because the mean of its divisors is an integer number (14031141957).

Almost surely, 2^106005011657 is an apocalyptic number.

106005011657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106005011657 is a deficient number, since it is larger than the sum of its proper divisors (6244123999).

106005011657 is a wasteful number, since it uses less digits than its factorization.

106005011657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474187.

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 106005011657 in words is "one hundred six billion, five million, eleven thousand, six hundred fifty-seven".