10705084416 has 560 divisors, whose sum is σ = 36966732264. Its totient is φ = 3057647616.

The previous prime is 10705084387. The next prime is 10705084441. The reversal of 10705084416 is 61448050701.

It is a happy number.

10705084416 is a `hidden beast` number, since 107 + 0 + 508 + 4 + 41 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9032601600 + 1672482816 = 95040^2 + 40896^2 .

It is a super-2 number, since 2×10705084416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146644956 + ... + 146645028.

Almost surely, 2^10705084416 is an apocalyptic number.

10705084416 is a gapful number since it is divisible by the number (16) 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 10705084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483366132).

10705084416 is an abundant number, since it is smaller than the sum of its proper divisors (26261647848).

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

10705084416 is an equidigital number, since it uses as much as digits as its factorization.

10705084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10705084416 in words is "ten billion, seven hundred five million, eighty-four thousand, four hundred sixteen".