101868824064 has 160 divisors (see below), whose sum is σ = 326478746880. Its totient is φ = 27573460992.

The previous prime is 101868824053. The next prime is 101868824077. The reversal of 101868824064 is 460428868101.

It is a happy number.

101868824064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 45039 + ... + 453614.

It is an arithmetic number, because the mean of its divisors is an integer number (2040492168).

Almost surely, 2^101868824064 is an apocalyptic number.

101868824064 is a gapful number since it is divisible by the number (14) 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 101868824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163239373440).

101868824064 is an abundant number, since it is smaller than the sum of its proper divisors (224609922816).

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

101868824064 is an equidigital number, since it uses as much as digits as its factorization.

101868824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498700 (or 498684 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 101868824064 in words is "one hundred one billion, eight hundred sixty-eight million, eight hundred twenty-four thousand, sixty-four".