101016608 has 72 divisors (see below), whose sum is σ = 249895296. Its totient is φ = 39346560.

The previous prime is 101016581. The next prime is 101016611. The reversal of 101016608 is 806610101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25241 + ... + 28967.

It is an arithmetic number, because the mean of its divisors is an integer number (3470768).

Almost surely, 2^101016608 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 101016608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124947648).

101016608 is an abundant number, since it is smaller than the sum of its proper divisors (148878688).

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

101016608 is a wasteful number, since it uses less digits than its factorization.

101016608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 101016608 is about 10050.7018660390. The cubic root of 101016608 is about 465.7264753266.

Adding to 101016608 its reverse (806610101), we get a palindrome (907626709).

The spelling of 101016608 in words is "one hundred one million, sixteen thousand, six hundred eight".