101350006560 has 288 divisors, whose sum is σ = 380423796480. Its totient is φ = 24569233920.

The previous prime is 101350006559. The next prime is 101350006567. The reversal of 101350006560 is 65600053101.

It is a happy number.

101350006560 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 0 + 0 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (101350006567) 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, 1890201 + ... + 1943079.

It is an arithmetic number, because the mean of its divisors is an integer number (1320915960).

Almost surely, 2^101350006560 is an apocalyptic number.

101350006560 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 101350006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190211898240).

101350006560 is an abundant number, since it is smaller than the sum of its proper divisors (279073789920).

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

101350006560 is a wasteful number, since it uses less digits than its factorization.

101350006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52933 (or 52900 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 101350006560 its reverse (65600053101), we get a palindrome (166950059661).

The spelling of 101350006560 in words is "one hundred one billion, three hundred fifty million, six thousand, five hundred sixty".