105676164 has 120 divisors (see below), whose sum is σ = 304920000. Its totient is φ = 31648320.

The previous prime is 105676159. The next prime is 105676169. The reversal of 105676164 is 461676501.

It is an interprime number because it is at equal distance from previous prime (105676159) and next prime (105676169).

It is a super-2 number, since 2×105676164² = 22334903275509792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105676169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 530937 + ... + 531135.

It is an arithmetic number, because the mean of its divisors is an integer number (2541000).

Almost surely, 2^105676164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105676164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152460000).

105676164 is an abundant number, since it is smaller than the sum of its proper divisors (199243836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105676164 is a wasteful number, since it uses less digits than its factorization.

105676164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105676164 is about 10279.8912445609. The cubic root of 105676164 is about 472.7799097341.

The spelling of 105676164 in words is "one hundred five million, six hundred seventy-six thousand, one hundred sixty-four".