164348100 has 216 divisors, whose sum is σ = 620168640. Its totient is φ = 35562240.

The previous prime is 164348083. The next prime is 164348113. The reversal of 164348100 is 1843461.

164348100 is a `hidden beast` number, since 1 + 643 + 4 + 8 + 10 + 0 = 666.

It is a super-2 number, since 2×164348100² = 54020595947220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119014 + ... + 120386.

Almost surely, 2^164348100 is an apocalyptic number.

164348100 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 164348100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310084320).

164348100 is an abundant number, since it is smaller than the sum of its proper divisors (455820540).

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

164348100 is a wasteful number, since it uses less digits than its factorization.

164348100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164348100 is about 12819.8322921948. The cubic root of 164348100 is about 547.7573694575.

The spelling of 164348100 in words is "one hundred sixty-four million, three hundred forty-eight thousand, one hundred".