101140873344 has 384 divisors, whose sum is σ = 352970265600. Its totient is φ = 28420761600.

The previous prime is 101140873343. The next prime is 101140873387. The reversal of 101140873344 is 443378041101.

101140873344 is a `hidden beast` number, since 101 + 140 + 8 + 73 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101140873299 and 101140873308.

It is not an unprimeable number, because it can be changed into a prime (101140873343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10325089 + ... + 10334879.

It is an arithmetic number, because the mean of its divisors is an integer number (919193400).

Almost surely, 2^101140873344 is an apocalyptic number.

101140873344 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 101140873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176485132800).

101140873344 is an abundant number, since it is smaller than the sum of its proper divisors (251829392256).

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

101140873344 is an equidigital number, since it uses as much as digits as its factorization.

101140873344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 101140873344 in words is "one hundred one billion, one hundred forty million, eight hundred seventy-three thousand, three hundred forty-four".