164462100 has 288 divisors, whose sum is σ = 568296960. Its totient is φ = 36288000.

The previous prime is 164462033. The next prime is 164462113. The reversal of 164462100 is 1264461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2696070 + ... + 2696130.

Almost surely, 2^164462100 is an apocalyptic number.

164462100 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 164462100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284148480).

164462100 is an abundant number, since it is smaller than the sum of its proper divisors (403834860).

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

164462100 is a wasteful number, since it uses less digits than its factorization.

164462100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164462100 is about 12824.2777574412. The cubic root of 164462100 is about 547.8839907520.

It can be divided in two parts, 164 and 462100, that added together give a palindrome (462264).

The spelling of 164462100 in words is "one hundred sixty-four million, four hundred sixty-two thousand, one hundred".