104632164 has 216 divisors, whose sum is σ = 351216320. Its totient is φ = 25505280.

The previous prime is 104632147. The next prime is 104632169. The reversal of 104632164 is 461236401.

104632164 is a `hidden beast` number, since 10 + 4 + 632 + 16 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (104632169) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2551984 + ... + 2552024.

Almost surely, 2^104632164 is an apocalyptic number.

104632164 is a gapful number since it is divisible by the number (14) 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 104632164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175608160).

104632164 is an abundant number, since it is smaller than the sum of its proper divisors (246584156).

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

104632164 is a wasteful number, since it uses less digits than its factorization.

104632164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 104632164 is about 10228.9864600556. The cubic root of 104632164 is about 471.2178526197.

Adding to 104632164 its reverse (461236401), we get a palindrome (565868565).

The spelling of 104632164 in words is "one hundred four million, six hundred thirty-two thousand, one hundred sixty-four".