101688238080 has 896 divisors, whose sum is σ = 425402288640. Its totient is φ = 22720020480.

The previous prime is 101688238063. The next prime is 101688238103. The reversal of 101688238080 is 80832886101.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158146239 + ... + 158146881.

It is an arithmetic number, because the mean of its divisors is an integer number (474779340).

Almost surely, 2^101688238080 is an apocalyptic number.

101688238080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101688238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212701144320).

101688238080 is an abundant number, since it is smaller than the sum of its proper divisors (323714050560).

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

101688238080 is a wasteful number, since it uses less digits than its factorization.

101688238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 101688238080 in words is "one hundred one billion, six hundred eighty-eight million, two hundred thirty-eight thousand, eighty".