106395757 has 8 divisors (see below), whose sum is σ = 117677336. Its totient is φ = 95556672.

The previous prime is 106395739. The next prime is 106395787. The reversal of 106395757 is 757593601.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 106110601 = 534^2 + 10301^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 106395757 - 2⁷ = 106395629 is a prime.

It is a super-2 number, since 2×106395757² = 22640114215206098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106395787) 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, 110118 + ... + 111079.

It is an arithmetic number, because the mean of its divisors is an integer number (14709667).

Almost surely, 2^106395757 is an apocalyptic number.

It is an amenable number.

106395757 is a deficient number, since it is larger than the sum of its proper divisors (11281579).

106395757 is a wasteful number, since it uses less digits than its factorization.

106395757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221247.

The product of its (nonzero) digits is 198450, while the sum is 43.

The square root of 106395757 is about 10314.8318939283. The cubic root of 106395757 is about 473.8506015543.

The spelling of 106395757 in words is "one hundred six million, three hundred ninety-five thousand, seven hundred fifty-seven".