105710511700 has 18 divisors (see below), whose sum is σ = 229391810606. Its totient is φ = 42284204640.

The previous prime is 105710511671. The next prime is 105710511703. The reversal of 105710511700 is 7115017501.

105710511700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 30808674576 + 74901837124 = 175524^2 + 273682^2 .

It is a super-2 number, since 2×105710511700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105710511703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528552459 + ... + 528552658.

Almost surely, 2^105710511700 is an apocalyptic number.

105710511700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105710511700 is an abundant number, since it is smaller than the sum of its proper divisors (123681298906).

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

105710511700 is a wasteful number, since it uses less digits than its factorization.

105710511700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057105131 (or 1057105124 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 28.

The spelling of 105710511700 in words is "one hundred five billion, seven hundred ten million, five hundred eleven thousand, seven hundred".