101684141 has 16 divisors (see below), whose sum is σ = 113799168. Its totient is φ = 90249600.

The previous prime is 101684137. The next prime is 101684159. The reversal of 101684141 is 141486101.

It is a cyclic number.

It is not a de Polignac number, because 101684141 - 2² = 101684137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101684141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101684131) 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, 36500 + ... + 39186.

It is an arithmetic number, because the mean of its divisors is an integer number (7112448).

Almost surely, 2^101684141 is an apocalyptic number.

It is an amenable number.

101684141 is a deficient number, since it is larger than the sum of its proper divisors (12115027).

101684141 is a wasteful number, since it uses less digits than its factorization.

101684141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812.

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 101684141 is about 10083.8554630657. The cubic root of 101684141 is about 466.7500875245.

The spelling of 101684141 in words is "one hundred one million, six hundred eighty-four thousand, one hundred forty-one".