103577746545 has 256 divisors, whose sum is σ = 233085081600. Its totient is φ = 42480599040.

The previous prime is 103577746537. The next prime is 103577746583. The reversal of 103577746545 is 545647775301.

103577746545 is a `hidden beast` number, since 1 + 0 + 3 + 57 + 7 + 7 + 46 + 545 = 666.

It is not a de Polignac number, because 103577746545 - 2³ = 103577746537 is a prime.

It is a super-3 number, since 3×103577746545³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103577746491 and 103577746500.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66694489 + ... + 66696041.

It is an arithmetic number, because the mean of its divisors is an integer number (910488600).

Almost surely, 2^103577746545 is an apocalyptic number.

103577746545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103577746545 is an abundant number, since it is smaller than the sum of its proper divisors (129507335055).

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

103577746545 is a wasteful number, since it uses less digits than its factorization.

103577746545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 103577746545 in words is "one hundred three billion, five hundred seventy-seven million, seven hundred forty-six thousand, five hundred forty-five".