106315677 has 24 divisors (see below), whose sum is σ = 166149984. Its totient is φ = 65120544.

The previous prime is 106315669. The next prime is 106315681. The reversal of 106315677 is 776513601.

106315677 is a `hidden beast` number, since 10 + 631 + 5 + 6 + 7 + 7 = 666.

It is not a de Polignac number, because 106315677 - 2³ = 106315669 is a prime.

It is a super-2 number, since 2×106315677² = 22606046351936658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106315607) 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 23 ways as a sum of consecutive naturals, for example, 24558 + ... + 28560.

It is an arithmetic number, because the mean of its divisors is an integer number (6922916).

Almost surely, 2^106315677 is an apocalyptic number.

It is an amenable number.

106315677 is a deficient number, since it is larger than the sum of its proper divisors (59834307).

106315677 is a wasteful number, since it uses less digits than its factorization.

106315677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 106315677 is about 10310.9493743302. The cubic root of 106315677 is about 473.7316886660.

The spelling of 106315677 in words is "one hundred six million, three hundred fifteen thousand, six hundred seventy-seven".