164639100 has 72 divisors (see below), whose sum is σ = 483524608. Its totient is φ = 43243200.

The previous prime is 164639093. The next prime is 164639107. The reversal of 164639100 is 1936461.

It is an interprime number because it is at equal distance from previous prime (164639093) and next prime (164639107).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164639107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16005 + ... + 24195.

Almost surely, 2^164639100 is an apocalyptic number.

164639100 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 164639100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241762304).

164639100 is an abundant number, since it is smaller than the sum of its proper divisors (318885508).

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

164639100 is a wasteful number, since it uses less digits than its factorization.

164639100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 164639100 is about 12831.1768750961. The cubic root of 164639100 is about 548.0804710711.

The spelling of 164639100 in words is "one hundred sixty-four million, six hundred thirty-nine thousand, one hundred".