164102016 has 128 divisors (see below), whose sum is σ = 477066240. Its totient is φ = 49674240.

The previous prime is 164101999. The next prime is 164102023. The reversal of 164102016 is 610201461.

164102016 = 153² + 154² + ... + 791².

164102016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 164101983 and 164102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354201 + ... + 354663.

It is an arithmetic number, because the mean of its divisors is an integer number (3727080).

Almost surely, 2^164102016 is an apocalyptic number.

164102016 is a gapful number since it is divisible by the number (16) 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 164102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238533120).

164102016 is an abundant number, since it is smaller than the sum of its proper divisors (312964224).

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

164102016 is a wasteful number, since it uses less digits than its factorization.

164102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 164102016 is about 12810.2309112678. The cubic root of 164102016 is about 547.4838409776.

Adding to 164102016 its reverse (610201461), we get a palindrome (774303477).

The spelling of 164102016 in words is "one hundred sixty-four million, one hundred two thousand, sixteen".