101888668 has 48 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 42353856.

The previous prime is 101888651. The next prime is 101888711. The reversal of 101888668 is 866888101.

It is a congruent number.

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, 182646 + ... + 183202.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^101888668 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 101888668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

101888668 is an abundant number, since it is smaller than the sum of its proper divisors (108097892).

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

101888668 is a wasteful number, since it uses less digits than its factorization.

101888668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The square root of 101888668 is about 10093.9916782213. The cubic root of 101888668 is about 467.0628175826.

The spelling of 101888668 in words is "one hundred one million, eight hundred eighty-eight thousand, six hundred sixty-eight".