103575840220890 has 48 divisors (see below), whose sum is σ = 269298097905096. Its totient is φ = 27620130384000.

The previous prime is 103575840220883. The next prime is 103575840220891. The reversal of 103575840220890 is 98022048575301.

103575840220890 is a `hidden beast` number, since 1 + 0 + 3 + 57 + 584 + 0 + 2 + 2 + 0 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81184082468841 + 22391757752049 = 9010221^2 + 4731993^2 .

It is a super-3 number, since 3×103575840220890³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103575840220891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27126180 + ... + 30708000.

Almost surely, 2^{103575840220890} is an apocalyptic number.

103575840220890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103575840220890 is an abundant number, since it is smaller than the sum of its proper divisors (165722257684206).

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

103575840220890 is a wasteful number, since it uses less digits than its factorization.

103575840220890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903135 (or 3903132 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 103575840220890 in words is "one hundred three trillion, five hundred seventy-five billion, eight hundred forty million, two hundred twenty thousand, eight hundred ninety".