103577745285 has 48 divisors (see below), whose sum is σ = 205355314944. Its totient is φ = 47309965056.

The previous prime is 103577745269. The next prime is 103577745287. The reversal of 103577745285 is 582547775301.

103577745285 is a `hidden beast` number, since 1 + 0 + 3 + 577 + 7 + 45 + 28 + 5 = 666.

It is not a de Polignac number, because 103577745285 - 2⁴ = 103577745269 is a prime.

It is a super-3 number, since 3×103577745285³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103577745287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237984 + ... + 513606.

It is an arithmetic number, because the mean of its divisors is an integer number (4278235728).

Almost surely, 2^103577745285 is an apocalyptic number.

103577745285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103577745285 is a deficient number, since it is larger than the sum of its proper divisors (101777569659).

103577745285 is a wasteful number, since it uses less digits than its factorization.

103577745285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276834 (or 276831 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 103577745285 in words is "one hundred three billion, five hundred seventy-seven million, seven hundred forty-five thousand, two hundred eighty-five".