164034100 has 72 divisors (see below), whose sum is σ = 365211000. Its totient is φ = 63936000.

The previous prime is 164034083. The next prime is 164034109. The reversal of 164034100 is 1430461.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20178064 + 143856036 = 4492^2 + 11994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164034109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1100826 + ... + 1100974.

It is an arithmetic number, because the mean of its divisors is an integer number (5072375).

Almost surely, 2^164034100 is an apocalyptic number.

164034100 is a gapful number since it is divisible by the number (10) 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 164034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182605500).

164034100 is an abundant number, since it is smaller than the sum of its proper divisors (201176900).

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

164034100 is a wasteful number, since it uses less digits than its factorization.

164034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 164034100 is about 12807.5797869855. The cubic root of 164034100 is about 547.4083025124.

Adding to 164034100 its reverse (1430461), we get a palindrome (165464561).

It can be divided in two parts, 16403 and 4100, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 164034100 in words is "one hundred sixty-four million, thirty-four thousand, one hundred".