162105322401 has 24 divisors (see below), whose sum is σ = 256564005984. Its totient is φ = 97812836160.

The previous prime is 162105322369. The next prime is 162105322403. The reversal of 162105322401 is 104223501261.

162105322401 is a `hidden beast` number, since 1 + 621 + 0 + 5 + 32 + 2 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 162105322401 - 2⁵ = 162105322369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (162105322403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3584196 + ... + 3629141.

It is an arithmetic number, because the mean of its divisors is an integer number (10690166916).

Almost surely, 2^162105322401 is an apocalyptic number.

162105322401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

162105322401 is a deficient number, since it is larger than the sum of its proper divisors (94458683583).

162105322401 is a wasteful number, since it uses less digits than its factorization.

162105322401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213581 (or 7213578 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 162105322401 its reverse (104223501261), we get a palindrome (266328823662).

The spelling of 162105322401 in words is "one hundred sixty-two billion, one hundred five million, three hundred twenty-two thousand, four hundred one".