101679984 has 120 divisors (see below), whose sum is σ = 327880800. Its totient is φ = 28813824.

The previous prime is 101679983. The next prime is 101679997. The reversal of 101679984 is 489976101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101679983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149854 + ... + 150530.

It is an arithmetic number, because the mean of its divisors is an integer number (2732340).

Almost surely, 2^101679984 is an apocalyptic number.

101679984 is a gapful number since it is divisible by the number (14) 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 101679984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163940400).

101679984 is an abundant number, since it is smaller than the sum of its proper divisors (226200816).

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

101679984 is a wasteful number, since it uses less digits than its factorization.

101679984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 101679984 is about 10083.6493394009. The cubic root of 101679984 is about 466.7437269569.

The spelling of 101679984 in words is "one hundred one million, six hundred seventy-nine thousand, nine hundred eighty-four".