164133606100 has 72 divisors (see below), whose sum is σ = 359623510400. Its totient is φ = 65017468800.

The previous prime is 164133606083. The next prime is 164133606137. The reversal of 164133606100 is 1606331461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38790985 + ... + 38795215.

Almost surely, 2^164133606100 is an apocalyptic number.

164133606100 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 164133606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179811755200).

164133606100 is an abundant number, since it is smaller than the sum of its proper divisors (195489904300).

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

164133606100 is a wasteful number, since it uses less digits than its factorization.

164133606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 164133606100 its reverse (1606331461), we get a palindrome (165739937561).

The spelling of 164133606100 in words is "one hundred sixty-four billion, one hundred thirty-three million, six hundred six thousand, one hundred".