105687706570420 has 48 divisors (see below), whose sum is σ = 243526564547280. Its totient is φ = 38286867280896.

The previous prime is 105687706570399. The next prime is 105687706570423. The reversal of 105687706570420 is 24075607786501.

It can be written as a sum of positive squares in 8 ways, for example, as 2086170032164 + 103601536538256 = 1444358^2 + 10178484^2 .

It is a super-2 number, since 2×105687706570420² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105687706570423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3834808665 + ... + 3834836224.

It is an arithmetic number, because the mean of its divisors is an integer number (5073470094735).

Almost surely, 2^{105687706570420} is an apocalyptic number.

105687706570420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105687706570420 is an abundant number, since it is smaller than the sum of its proper divisors (137838857976860).

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

105687706570420 is a wasteful number, since it uses less digits than its factorization.

105687706570420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669644964 (or 7669644962 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 58.

The spelling of 105687706570420 in words is "one hundred five trillion, six hundred eighty-seven billion, seven hundred six million, five hundred seventy thousand, four hundred twenty".