164200116 has 48 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 53470560.

The previous prime is 164200103. The next prime is 164200129. The reversal of 164200116 is 611002461.

It is an interprime number because it is at equal distance from previous prime (164200103) and next prime (164200129).

It is a junction number, because it is equal to n+sod(n) for n = 164200092 and 164200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104545 + ... + 106103.

It is an arithmetic number, because the mean of its divisors is an integer number (8168160).

Almost surely, 2^164200116 is an apocalyptic number.

It is an amenable number.

164200116 is an abundant number, since it is smaller than the sum of its proper divisors (227871564).

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

164200116 is a wasteful number, since it uses less digits than its factorization.

164200116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 164200116 is about 12814.0593099923. The cubic root of 164200116 is about 547.5929143200.

Adding to 164200116 its reverse (611002461), we get a palindrome (775202577).

The spelling of 164200116 in words is "one hundred sixty-four million, two hundred thousand, one hundred sixteen".