106270705685760 has 2304 divisors, whose sum is σ = 444345336078336. Its totient is φ = 21009530880000.

The previous prime is 106270705685747. The next prime is 106270705685827. The reversal of 106270705685760 is 67586507072601.

It is a super-2 number, since 2×106270705685760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 106270705685694 and 106270705685703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 96873933532 + ... + 96873934628.

It is an arithmetic number, because the mean of its divisors is an integer number (192858218784).

Almost surely, 2^{106270705685760} is an apocalyptic number.

106270705685760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106270705685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222172668039168).

106270705685760 is an abundant number, since it is smaller than the sum of its proper divisors (338074630392576).

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

106270705685760 is a wasteful number, since it uses less digits than its factorization.

106270705685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 106270705685760 in words is "one hundred six trillion, two hundred seventy billion, seven hundred five million, six hundred eighty-five thousand, seven hundred sixty".