105001000061064 has 32 divisors (see below), whose sum is σ = 265208711500320. Its totient is φ = 34639505174016.

The previous prime is 105001000061059. The next prime is 105001000061101. The reversal of 105001000061064 is 460160000100501.

It is a super-3 number, since 3×105001000061064³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22551758854 + ... + 22551763509.

It is an arithmetic number, because the mean of its divisors is an integer number (8287772234385).

Almost surely, 2^{105001000061064} is an apocalyptic number.

It is an amenable number.

105001000061064 is an abundant number, since it is smaller than the sum of its proper divisors (160207711439256).

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

105001000061064 is a wasteful number, since it uses less digits than its factorization.

105001000061064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45103522469 (or 45103522465 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 105001000061064 its reverse (460160000100501), we get a palindrome (565161000161565).

The spelling of 105001000061064 in words is "one hundred five trillion, one billion, sixty-one thousand, sixty-four".