101686448 has 40 divisors (see below), whose sum is σ = 204272640. Its totient is φ = 48985920.

The previous prime is 101686433. The next prime is 101686463. The reversal of 101686448 is 844686101.

It is an interprime number because it is at equal distance from previous prime (101686433) and next prime (101686463).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217511 + ... + 217977.

It is an arithmetic number, because the mean of its divisors is an integer number (5106816).

Almost surely, 2^101686448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101686448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

101686448 is an abundant number, since it is smaller than the sum of its proper divisors (102586192).

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

101686448 is a wasteful number, since it uses less digits than its factorization.

101686448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 101686448 is about 10083.9698531878. The cubic root of 101686448 is about 466.7536173582.

The spelling of 101686448 in words is "one hundred one million, six hundred eighty-six thousand, four hundred forty-eight".