106700336768 has 32 divisors (see below), whose sum is σ = 212652038820. Its totient is φ = 53328844800.

The previous prime is 106700336767. The next prime is 106700336773. The reversal of 106700336768 is 867633007601.

It can be written as a sum of positive squares in 2 ways, for example, as 106698915904 + 1420864 = 326648^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106700336768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106700336767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157358 + ... + 488018.

Almost surely, 2^106700336768 is an apocalyptic number.

It is an amenable number.

106700336768 is a deficient number, since it is larger than the sum of its proper divisors (105951702052).

106700336768 is an equidigital number, since it uses as much as digits as its factorization.

106700336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333196 (or 333184 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 106700336768 in words is "one hundred six billion, seven hundred million, three hundred thirty-six thousand, seven hundred sixty-eight".