101316864 has 144 divisors (see below), whose sum is σ = 300222720. Its totient is φ = 30074880.

The previous prime is 101316847. The next prime is 101316869. The reversal of 101316864 is 468613101.

It is not an unprimeable number, because it can be changed into a prime (101316869) 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, 565927 + ... + 566105.

It is an arithmetic number, because the mean of its divisors is an integer number (2084880).

Almost surely, 2^101316864 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 101316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150111360).

101316864 is an abundant number, since it is smaller than the sum of its proper divisors (198905856).

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

101316864 is a wasteful number, since it uses less digits than its factorization.

101316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 101316864 is about 10065.6278492700. The cubic root of 101316864 is about 466.1874518322.

Adding to 101316864 its reverse (468613101), we get a palindrome (569929965).

The spelling of 101316864 in words is "one hundred one million, three hundred sixteen thousand, eight hundred sixty-four".