101684712 has 64 divisors (see below), whose sum is σ = 265305600. Its totient is φ = 32440320.

The previous prime is 101684707. The next prime is 101684731. The reversal of 101684712 is 217486101.

It is a self number, because there is not a number n which added to its sum of digits gives 101684712.

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, 71464 + ... + 72872.

It is an arithmetic number, because the mean of its divisors is an integer number (4145400).

Almost surely, 2^101684712 is an apocalyptic number.

101684712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101684712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132652800).

101684712 is an abundant number, since it is smaller than the sum of its proper divisors (163620888).

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

101684712 is a wasteful number, since it uses less digits than its factorization.

101684712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 101684712 is about 10083.8837756095. The cubic root of 101684712 is about 466.7509611901.

The spelling of 101684712 in words is "one hundred one million, six hundred eighty-four thousand, seven hundred twelve".