106951977 has 24 divisors (see below), whose sum is σ = 169565760. Its totient is φ = 64421280.

The previous prime is 106951951. The next prime is 106952003. The reversal of 106951977 is 779159601.

106951977 is a `hidden beast` number, since 1 + 0 + 69 + 519 + 77 = 666.

It is an interprime number because it is at equal distance from previous prime (106951951) and next prime (106952003).

It is not a de Polignac number, because 106951977 - 2¹⁰ = 106950953 is a prime.

It is a super-2 number, since 2×106951977² = 22877450768417058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106951477) 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, 13299 + ... + 19767.

It is an arithmetic number, because the mean of its divisors is an integer number (7065240).

Almost surely, 2^106951977 is an apocalyptic number.

It is an amenable number.

106951977 is a deficient number, since it is larger than the sum of its proper divisors (62613783).

106951977 is a wasteful number, since it uses less digits than its factorization.

106951977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 106951977 is about 10341.7588929543. The cubic root of 106951977 is about 474.6749051610.

The spelling of 106951977 in words is "one hundred six million, nine hundred fifty-one thousand, nine hundred seventy-seven".