101160245760 has 320 divisors, whose sum is σ = 374290329600. Its totient is φ = 22828695552.

The previous prime is 101160245731. The next prime is 101160245761. The reversal of 101160245760 is 67542061101.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (101160245761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4235131 + ... + 4258949.

It is an arithmetic number, because the mean of its divisors is an integer number (1169657280).

Almost surely, 2^101160245760 is an apocalyptic number.

101160245760 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 101160245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187145164800).

101160245760 is an abundant number, since it is smaller than the sum of its proper divisors (273130083840).

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

101160245760 is an equidigital number, since it uses as much as digits as its factorization.

101160245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931 (or 23915 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 101160245760 in words is "one hundred one billion, one hundred sixty million, two hundred forty-five thousand, seven hundred sixty".