10705670600 has 48 divisors (see below), whose sum is σ = 24907654320. Its totient is φ = 4279348800.

The previous prime is 10705670557. The next prime is 10705670609. The reversal of 10705670600 is 607650701.

10705670600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10705670600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10705670609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288719 + ... + 323681.

It is an arithmetic number, because the mean of its divisors is an integer number (518909465).

Almost surely, 2^10705670600 is an apocalyptic number.

10705670600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10705670600 is an abundant number, since it is smaller than the sum of its proper divisors (14201983720).

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

10705670600 is a wasteful number, since it uses less digits than its factorization.

10705670600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36510 (or 36501 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 10705670600 in words is "ten billion, seven hundred five million, six hundred seventy thousand, six hundred".