1005077550105 has 48 divisors (see below), whose sum is σ = 1798508275200. Its totient is φ = 518698944000.

The previous prime is 1005077550053. The next prime is 1005077550121. The reversal of 1005077550105 is 5010557705001.

It is not a de Polignac number, because 1005077550105 - 2¹⁶ = 1005077484569 is a prime.

It is a super-2 number, since 2×1005077550105² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005077550105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17270346 + ... + 17328444.

It is an arithmetic number, because the mean of its divisors is an integer number (37468922400).

Almost surely, 2^{1005077550105} is an apocalyptic number.

1005077550105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005077550105 is a deficient number, since it is larger than the sum of its proper divisors (793430725095).

1005077550105 is a wasteful number, since it uses less digits than its factorization.

1005077550105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70542 (or 70539 counting only the distinct ones).

The product of its (nonzero) digits is 30625, while the sum is 36.

The spelling of 1005077550105 in words is "one trillion, five billion, seventy-seven million, five hundred fifty thousand, one hundred five".