101187688 has 64 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 42197760.

The previous prime is 101187679. The next prime is 101187701. The reversal of 101187688 is 886781101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101187688.

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, 558958 + ... + 559138.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2^101187688 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 101187688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

101187688 is an abundant number, since it is smaller than the sum of its proper divisors (121580312).

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

101187688 is a wasteful number, since it uses less digits than its factorization.

101187688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 40.

The square root of 101187688 is about 10059.2091140407. The cubic root of 101187688 is about 465.9892425080.

The spelling of 101187688 in words is "one hundred one million, one hundred eighty-seven thousand, six hundred eighty-eight".