103577665034000 has 80 divisors (see below), whose sum is σ = 250454304016176. Its totient is φ = 41430485376000.

The previous prime is 103577665033979. The next prime is 103577665034119. The reversal of 103577665034000 is 430566775301.

It can be written as a sum of positive squares in 8 ways, for example, as 61167978432016 + 42409686601984 = 7820996^2 + 6512272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×103577665034000³ (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 15 ways as a sum of consecutive naturals, for example, 160119212 + ... + 160764788.

Almost surely, 2^{103577665034000} is an apocalyptic number.

103577665034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103577665034000 is an abundant number, since it is smaller than the sum of its proper divisors (146876638982176).

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

103577665034000 is an equidigital number, since it uses as much as digits as its factorization.

103577665034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725821 (or 725805 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 47.

The spelling of 103577665034000 in words is "one hundred three trillion, five hundred seventy-seven billion, six hundred sixty-five million, thirty-four thousand".