164100364100 has 36 divisors (see below), whose sum is σ = 358282474704. Its totient is φ = 65237438880.

The previous prime is 164100364069. The next prime is 164100364133. The reversal of 164100364100 is 1463001461.

It is a self number, because there is not a number n which added to its sum of digits gives 164100364100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5017454 + ... + 5050053.

It is an arithmetic number, because the mean of its divisors is an integer number (9952290964).

Almost surely, 2^164100364100 is an apocalyptic number.

164100364100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164100364100 is an abundant number, since it is smaller than the sum of its proper divisors (194182110604).

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

164100364100 is a wasteful number, since it uses less digits than its factorization.

164100364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067684 (or 10067677 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 164100364100 its reverse (1463001461), we get a palindrome (165563365561).

The spelling of 164100364100 in words is "one hundred sixty-four billion, one hundred million, three hundred sixty-four thousand, one hundred".