106657791 has 16 divisors (see below), whose sum is σ = 146386944. Its totient is φ = 69025824.

The previous prime is 106657777. The next prime is 106657819. The reversal of 106657791 is 197756601.

It is a de Polignac number, because none of the positive numbers 2^k-106657791 is a prime.

It is a super-2 number, since 2×106657791² = 22751768761999362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106657721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66586 + ... + 68168.

It is an arithmetic number, because the mean of its divisors is an integer number (9149184).

Almost surely, 2^106657791 is an apocalyptic number.

106657791 is a deficient number, since it is larger than the sum of its proper divisors (39729153).

106657791 is a wasteful number, since it uses less digits than its factorization.

106657791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 106657791 is about 10327.5258895827. The cubic root of 106657791 is about 474.2392861508.

The spelling of 106657791 in words is "one hundred six million, six hundred fifty-seven thousand, seven hundred ninety-one".