106164777 has 16 divisors (see below), whose sum is σ = 146681280. Its totient is φ = 68258112.

The previous prime is 106164763. The next prime is 106164791. The reversal of 106164777 is 777461601.

It is an interprime number because it is at equal distance from previous prime (106164763) and next prime (106164791).

It is not a de Polignac number, because 106164777 - 2¹⁰ = 106163753 is a prime.

It is a super-2 number, since 2×106164777² = 22541919750919458, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106164727) 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, 3723 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (9167580).

Almost surely, 2^106164777 is an apocalyptic number.

It is an amenable number.

106164777 is a deficient number, since it is larger than the sum of its proper divisors (40516503).

106164777 is a wasteful number, since it uses less digits than its factorization.

106164777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11432.

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 106164777 is about 10303.6293120434. The cubic root of 106164777 is about 473.5074509305.

The spelling of 106164777 in words is "one hundred six million, one hundred sixty-four thousand, seven hundred seventy-seven".