106351566656 has 28 divisors (see below), whose sum is σ = 211053525060. Its totient is φ = 53172725760.

The previous prime is 106351566641. The next prime is 106351566733. The reversal of 106351566656 is 656665153601.

It can be written as a sum of positive squares in 2 ways, for example, as 55733766400 + 50617800256 = 236080^2 + 224984^2 .

It is a super-2 number, since 2×106351566656² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1426760 + ... + 1499448.

It is an arithmetic number, because the mean of its divisors is an integer number (7537625895).

Almost surely, 2^106351566656 is an apocalyptic number.

106351566656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106351566656 is a deficient number, since it is larger than the sum of its proper divisors (104701958404).

106351566656 is an equidigital number, since it uses as much as digits as its factorization.

106351566656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95562 (or 95552 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 50.

The spelling of 106351566656 in words is "one hundred six billion, three hundred fifty-one million, five hundred sixty-six thousand, six hundred fifty-six".