164102010 has 128 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 39443712.

The previous prime is 164101999. The next prime is 164102023. The reversal of 164102010 is 10201461.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1180521 + ... + 1180659.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^164102010 is an apocalyptic number.

164102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

164102010 is an abundant number, since it is smaller than the sum of its proper divisors (271353990).

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

164102010 is a wasteful number, since it uses less digits than its factorization.

164102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 164102010 is about 12810.2306770799. The cubic root of 164102010 is about 547.4838343051.

Adding to 164102010 its reverse (10201461), we get a palindrome (174303471).

The spelling of 164102010 in words is "one hundred sixty-four million, one hundred two thousand, ten".