101840988960 has 576 divisors, whose sum is σ = 382098487680. Its totient is φ = 25569976320.

The previous prime is 101840988947. The next prime is 101840988967. The reversal of 101840988960 is 69889048101.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101840988897 and 101840988906.

It is not an unprimeable number, because it can be changed into a prime (101840988967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46227219 + ... + 46229421.

It is an arithmetic number, because the mean of its divisors is an integer number (663365430).

Almost surely, 2^101840988960 is an apocalyptic number.

101840988960 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 101840988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191049243840).

101840988960 is an abundant number, since it is smaller than the sum of its proper divisors (280257498720).

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

101840988960 is a wasteful number, since it uses less digits than its factorization.

101840988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 101840988960 in words is "one hundred one billion, eight hundred forty million, nine hundred eighty-eight thousand, nine hundred sixty".