4102164 has 60 divisors (see below), whose sum is σ = 11708928. Its totient is φ = 1242000.

The previous prime is 4102141. The next prime is 4102169. The reversal of 4102164 is 4612014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2989 + ... + 4139.

Almost surely, 2^4102164 is an apocalyptic number.

4102164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854464).

4102164 is an abundant number, since it is smaller than the sum of its proper divisors (7606764).

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

4102164 is a wasteful number, since it uses less digits than its factorization.

4102164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4102164 is about 2025.3799643524. The cubic root of 4102164 is about 160.0802201895.

Adding to 4102164 its reverse (4612014), we get a palindrome (8714178).

The spelling of 4102164 in words is "four million, one hundred two thousand, one hundred sixty-four".