162105611561201 has 16 divisors (see below), whose sum is σ = 202106058560640. Its totient is φ = 126315835313280.

The previous prime is 162105611561149. The next prime is 162105611561237. The reversal of 162105611561201 is 102165116501261.

It is a cyclic number.

It is not a de Polignac number, because 162105611561201 - 2³⁸ = 161830733654257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162105611560201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51155135 + ... + 54231531.

It is an arithmetic number, because the mean of its divisors is an integer number (12631628660040).

Almost surely, 2^{162105611561201} is an apocalyptic number.

162105611561201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

162105611561201 is a deficient number, since it is larger than the sum of its proper divisors (40000446999439).

162105611561201 is a wasteful number, since it uses less digits than its factorization.

162105611561201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760744.

The product of its (nonzero) digits is 21600, while the sum is 38.

The spelling of 162105611561201 in words is "one hundred sixty-two trillion, one hundred five billion, six hundred eleven million, five hundred sixty-one thousand, two hundred one".