164105242101210 has 16 divisors (see below), whose sum is σ = 393852581042976. Its totient is φ = 43761397893648.

The previous prime is 164105242101193. The next prime is 164105242101217. The reversal of 164105242101210 is 12101242501461.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 5470174736707 = 164105242101210 / (1 + 6 + 4 + 1 + 0 + 5 + 2 + 4 + 2 + 1 + 0 + 1 + 2 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (164105242101217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2735087368324 + ... + 2735087368383.

It is an arithmetic number, because the mean of its divisors is an integer number (24615786315186).

Almost surely, 2^{164105242101210} is an apocalyptic number.

164105242101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164105242101210 is an abundant number, since it is smaller than the sum of its proper divisors (229747338941766).

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

164105242101210 is a wasteful number, since it uses less digits than its factorization.

164105242101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470174736717.

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 164105242101210 its reverse (12101242501461), we get a palindrome (176206484602671).

The spelling of 164105242101210 in words is "one hundred sixty-four trillion, one hundred five billion, two hundred forty-two million, one hundred one thousand, two hundred ten".