10510105010064 has 120 divisors (see below), whose sum is σ = 29854254580416. Its totient is φ = 3183762067200.

The previous prime is 10510105010057. The next prime is 10510105010087. The reversal of 10510105010064 is 46001050101501.

It is a super-2 number, since 2×10510105010064² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 16300437 + ... + 16932939.

Almost surely, 2^{10510105010064} 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 10510105010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927127290208).

10510105010064 is an abundant number, since it is smaller than the sum of its proper divisors (19344149570352).

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

10510105010064 is a wasteful number, since it uses less digits than its factorization.

10510105010064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635397 (or 635380 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 10510105010064 its reverse (46001050101501), we get a palindrome (56511155111565).

The spelling of 10510105010064 in words is "ten trillion, five hundred ten billion, one hundred five million, ten thousand, sixty-four".