101580065808 has 160 divisors (see below), whose sum is σ = 291710496000. Its totient is φ = 30256478208.

The previous prime is 101580065801. The next prime is 101580065837. The reversal of 101580065808 is 808560085101.

It is a happy number.

It is a super-2 number, since 2×101580065808² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101580065808.

It is not an unprimeable number, because it can be changed into a prime (101580065801) 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, 4583458 + ... + 4605566.

It is an arithmetic number, because the mean of its divisors is an integer number (1823190600).

Almost surely, 2^101580065808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101580065808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145855248000).

101580065808 is an abundant number, since it is smaller than the sum of its proper divisors (190130430192).

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

101580065808 is a wasteful number, since it uses less digits than its factorization.

101580065808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22369 (or 22363 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 101580065808 in words is "one hundred one billion, five hundred eighty million, sixty-five thousand, eight hundred eight".