103220667466727 has 32 divisors (see below), whose sum is σ = 117142179460992. Its totient is φ = 90401484754944.

The previous prime is 103220667466669. The next prime is 103220667466739. The reversal of 103220667466727 is 727664766022301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103220667466727 - 2¹⁰ = 103220667465703 is a prime.

It is a super-3 number, since 3×103220667466727³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103220667466127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109145633 + ... + 110087285.

It is an arithmetic number, because the mean of its divisors is an integer number (3660693108156).

Almost surely, 2^{103220667466727} is an apocalyptic number.

103220667466727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

103220667466727 is a deficient number, since it is larger than the sum of its proper divisors (13921511994265).

103220667466727 is a wasteful number, since it uses less digits than its factorization.

103220667466727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949307.

The product of its (nonzero) digits is 42674688, while the sum is 59.

The spelling of 103220667466727 in words is "one hundred three trillion, two hundred twenty billion, six hundred sixty-seven million, four hundred sixty-six thousand, seven hundred twenty-seven".