103677908846352 has 40 divisors (see below), whose sum is σ = 275073370772736. Its totient is φ = 33625267733376.

The previous prime is 103677908846339. The next prime is 103677908846377. The reversal of 103677908846352 is 253648809776301.

103677908846352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103677908846352³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29188598688 + ... + 29188602239.

It is a 2-persistent number, because it is pandigital, and so is 2⋅103677908846352 = 207355817692704, but 3⋅103677908846352 = 311033726539056 is not.

Almost surely, 2^{103677908846352} is an apocalyptic number.

103677908846352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103677908846352 is an abundant number, since it is smaller than the sum of its proper divisors (171395461926384).

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

103677908846352 is a wasteful number, since it uses less digits than its factorization.

103677908846352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58377200975 (or 58377200969 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 103677908846352 in words is "one hundred three trillion, six hundred seventy-seven billion, nine hundred eight million, eight hundred forty-six thousand, three hundred fifty-two".