168838101 has 48 divisors (see below), whose sum is σ = 279586944. Its totient is φ = 101274624.

The previous prime is 168838097. The next prime is 168838127. The reversal of 168838101 is 101838861.

It is not a de Polignac number, because 168838101 - 2² = 168838097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168838181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94125 + ... + 95901.

It is an arithmetic number, because the mean of its divisors is an integer number (5824728).

Almost surely, 2^168838101 is an apocalyptic number.

It is an amenable number.

168838101 is a deficient number, since it is larger than the sum of its proper divisors (110748843).

168838101 is a wasteful number, since it uses less digits than its factorization.

168838101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 168838101 is about 12993.7716233586. The cubic root of 168838101 is about 552.7008760234.

The spelling of 168838101 in words is "one hundred sixty-eight million, eight hundred thirty-eight thousand, one hundred one".