1045664100 has 288 divisors, whose sum is σ = 3740871680. Its totient is φ = 249091200.

The previous prime is 1045664093. The next prime is 1045664119. The reversal of 1045664100 is 14665401.

1045664100 is a `hidden beast` number, since 10 + 4 + 5 + 6 + 641 + 0 + 0 = 666.

1045664100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33731085 + ... + 33731115.

Almost surely, 2^1045664100 is an apocalyptic number.

1045664100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870435840).

1045664100 is an abundant number, since it is smaller than the sum of its proper divisors (2695207580).

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

1045664100 is a wasteful number, since it uses less digits than its factorization.

1045664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1045664100 is about 32336.7298903275. The cubic root of 1045664100 is about 1014.9953812468.

The spelling of 1045664100 in words is "one billion, forty-five million, six hundred sixty-four thousand, one hundred".