101684349 has 32 divisors (see below), whose sum is σ = 162982400. Its totient is φ = 62285760.

The previous prime is 101684329. The next prime is 101684413. The reversal of 101684349 is 943486101.

It is not a de Polignac number, because 101684349 - 2⁹ = 101683837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101684329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94587 + ... + 95655.

It is an arithmetic number, because the mean of its divisors is an integer number (5093200).

Almost surely, 2^101684349 is an apocalyptic number.

It is an amenable number.

101684349 is a deficient number, since it is larger than the sum of its proper divisors (61298051).

101684349 is a wasteful number, since it uses less digits than its factorization.

101684349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 101684349 is about 10083.8657765760. The cubic root of 101684349 is about 466.7504057779.

The spelling of 101684349 in words is "one hundred one million, six hundred eighty-four thousand, three hundred forty-nine".