103574211056001 has 32 divisors (see below), whose sum is σ = 185679257921280. Its totient is φ = 55703777372928.

The previous prime is 103574211055891. The next prime is 103574211056009. The reversal of 103574211056001 is 100650112475301.

103574211056001 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 7 + 42 + 1 + 1 + 0 + 5 + 600 + 1 = 666.

It is not a de Polignac number, because 103574211056001 - 2⁹ = 103574211055489 is a prime.

It is a super-3 number, since 3×103574211056001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103574211056009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16117987926 + ... + 16117994351.

It is an arithmetic number, because the mean of its divisors is an integer number (5802476810040).

Almost surely, 2^{103574211056001} is an apocalyptic number.

It is an amenable number.

103574211056001 is a deficient number, since it is larger than the sum of its proper divisors (82105046865279).

103574211056001 is a wasteful number, since it uses less digits than its factorization.

103574211056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32235982310 (or 32235982304 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 103574211056001 in words is "one hundred three trillion, five hundred seventy-four billion, two hundred eleven million, fifty-six thousand, one".