1045135664100 has 144 divisors (see below), whose sum is σ = 3665364776640. Its totient is φ = 253366214400.

The previous prime is 1045135664071. The next prime is 1045135664147. The reversal of 1045135664100 is 14665315401.

1045135664100 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 1 + 3 + 5 + 6 + 641 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17565177 + ... + 17624576.

It is an arithmetic number, because the mean of its divisors is an integer number (25453922060).

Almost surely, 2^{1045135664100} is an apocalyptic number.

1045135664100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045135664100 is an abundant number, since it is smaller than the sum of its proper divisors (2620229112540).

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

1045135664100 is a wasteful number, since it uses less digits than its factorization.

1045135664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35189787 (or 35189774 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1045135664100 in words is "one trillion, forty-five billion, one hundred thirty-five million, six hundred sixty-four thousand, one hundred".