164110401 has 64 divisors (see below), whose sum is σ = 316915200. Its totient is φ = 81451008.

The previous prime is 164110363. The next prime is 164110421. The reversal of 164110401 is 104011461.

It is not a de Polignac number, because 164110401 - 2¹⁵ = 164077633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164110421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39805 + ... + 43733.

It is an arithmetic number, because the mean of its divisors is an integer number (4951800).

Almost surely, 2^164110401 is an apocalyptic number.

It is an amenable number.

164110401 is a deficient number, since it is larger than the sum of its proper divisors (152804799).

164110401 is a wasteful number, since it uses less digits than its factorization.

164110401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 164110401 is about 12810.5581845601. The cubic root of 164110401 is about 547.4931656118.

Adding to 164110401 its reverse (104011461), we get a palindrome (268121862).

The spelling of 164110401 in words is "one hundred sixty-four million, one hundred ten thousand, four hundred one".