106755658103360 has 672 divisors, whose sum is σ = 316498012346880. Its totient is φ = 33530379632640.

The previous prime is 106755658103351. The next prime is 106755658103441. The reversal of 106755658103360 is 63301856557601.

It is a super-2 number, since 2×106755658103360² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 106755658103296 and 106755658103305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4802528726 + ... + 4802550954.

It is an arithmetic number, because the mean of its divisors is an integer number (470979185040).

Almost surely, 2^{106755658103360} is an apocalyptic number.

106755658103360 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 106755658103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158249006173440).

106755658103360 is an abundant number, since it is smaller than the sum of its proper divisors (209742354243520).

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

106755658103360 is a wasteful number, since it uses less digits than its factorization.

106755658103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22435 (or 22394 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 56.

The spelling of 106755658103360 in words is "one hundred six trillion, seven hundred fifty-five billion, six hundred fifty-eight million, one hundred three thousand, three hundred sixty".