10705221506610 has 64 divisors (see below), whose sum is σ = 28573139612160. Its totient is φ = 2852137509120.

The previous prime is 10705221506599. The next prime is 10705221506611. The reversal of 10705221506610 is 1660512250701.

10705221506610 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 5 + 22 + 15 + 0 + 6 + 610 = 666.

It is a super-2 number, since 2×10705221506610² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10705221506611) 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, 17675431 + ... + 18271050.

It is an arithmetic number, because the mean of its divisors is an integer number (446455306440).

Almost surely, 2^{10705221506610} is an apocalyptic number.

10705221506610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10705221506610 is an abundant number, since it is smaller than the sum of its proper divisors (17867918105550).

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

10705221506610 is a wasteful number, since it uses less digits than its factorization.

10705221506610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35947600 (or 35947594 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10705221506610 in words is "ten trillion, seven hundred five billion, two hundred twenty-one million, five hundred six thousand, six hundred ten".