101334688 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 35684352.

The previous prime is 101334641. The next prime is 101334743. The reversal of 101334688 is 886433101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1138548 + ... + 1138636.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^101334688 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 101334688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

101334688 is an abundant number, since it is smaller than the sum of its proper divisors (173002592).

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

101334688 is a wasteful number, since it uses less digits than its factorization.

101334688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 101334688 is about 10066.5131997132. The cubic root of 101334688 is about 466.2147879787.

Adding to 101334688 its reverse (886433101), we get a palindrome (987767789).

The spelling of 101334688 in words is "one hundred one million, three hundred thirty-four thousand, six hundred eighty-eight".