105330715700 has 72 divisors (see below), whose sum is σ = 268280245632. Its totient is φ = 35137342080.

The previous prime is 105330715649. The next prime is 105330715703. The reversal of 105330715700 is 7517033501.

105330715700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105330715700² (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 (105330715703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2007512 + ... + 2059311.

Almost surely, 2^105330715700 is an apocalyptic number.

105330715700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105330715700 is an abundant number, since it is smaller than the sum of its proper divisors (162949529932).

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

105330715700 is a wasteful number, since it uses less digits than its factorization.

105330715700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066881 (or 4066874 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 32.

The spelling of 105330715700 in words is "one hundred five billion, three hundred thirty million, seven hundred fifteen thousand, seven hundred".