105706655670 has 256 divisors, whose sum is σ = 319502942208. Its totient is φ = 21743562240.

The previous prime is 105706655657. The next prime is 105706655671. The reversal of 105706655670 is 76556607501.

It is a super-2 number, since 2×105706655670² (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 (105706655671) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144210624 + ... + 144211356.

It is an arithmetic number, because the mean of its divisors is an integer number (1248058368).

Almost surely, 2^105706655670 is an apocalyptic number.

105706655670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105706655670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159751471104).

105706655670 is an abundant number, since it is smaller than the sum of its proper divisors (213796286538).

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

105706655670 is a wasteful number, since it uses less digits than its factorization.

105706655670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307.

The product of its (nonzero) digits is 1323000, while the sum is 48.

The spelling of 105706655670 in words is "one hundred five billion, seven hundred six million, six hundred fifty-five thousand, six hundred seventy".