106713570614656 has 64 divisors (see below), whose sum is σ = 213521640472800. Its totient is φ = 53123921141760.

The previous prime is 106713570614473. The next prime is 106713570614681. The reversal of 106713570614656 is 656416075317601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106713570614656² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106713570614656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143473290 + ... + 144215158.

Almost surely, 2^{106713570614656} is an apocalyptic number.

106713570614656 is a gapful number since it is divisible by the number (16) 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 106713570614656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106760820236400).

106713570614656 is an abundant number, since it is smaller than the sum of its proper divisors (106808069858144).

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

106713570614656 is an equidigital number, since it uses as much as digits as its factorization.

106713570614656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746787 (or 746775 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 106713570614656 in words is "one hundred six trillion, seven hundred thirteen billion, five hundred seventy million, six hundred fourteen thousand, six hundred fifty-six".