101999968 has 48 divisors (see below), whose sum is σ = 234208800. Its totient is φ = 43709568.

The previous prime is 101999941. The next prime is 101999969. The reversal of 101999968 is 869999101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101999969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6330 + ... + 15622.

It is an arithmetic number, because the mean of its divisors is an integer number (4879350).

Almost surely, 2^101999968 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 101999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117104400).

101999968 is an abundant number, since it is smaller than the sum of its proper divisors (132208832).

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

101999968 is an frugal number, since it uses more digits than its factorization.

101999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 52.

The square root of 101999968 is about 10099.5033541259. The cubic root of 101999968 is about 467.2328239746.

The spelling of 101999968 in words is "one hundred one million, nine hundred ninety-nine thousand, nine hundred sixty-eight".