103209011871264 has 180 divisors, whose sum is σ = 328679736130746. Its totient is φ = 31756618902528.

The previous prime is 103209011871223. The next prime is 103209011871269. The reversal of 103209011871264 is 462178110902301.

103209011871264 is a `hidden beast` number, since 1 + 0 + 3 + 209 + 0 + 1 + 187 + 1 + 264 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 67961755307664 + 35247256563600 = 8243892^2 + 5936940^2 .

It is not an unprimeable number, because it can be changed into a prime (103209011871269) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117367549 + ... + 118243644.

Almost surely, 2^{103209011871264} is an apocalyptic number.

It is an amenable number.

103209011871264 is an abundant number, since it is smaller than the sum of its proper divisors (225470724259482).

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

103209011871264 is a wasteful number, since it uses less digits than its factorization.

103209011871264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235611241 (or 235611211 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 103209011871264 in words is "one hundred three trillion, two hundred nine billion, eleven million, eight hundred seventy-one thousand, two hundred sixty-four".