1045680300 has 288 divisors, whose sum is σ = 3909194240. Its totient is φ = 234835200.

The previous prime is 1045680287. The next prime is 1045680331. The reversal of 1045680300 is 30865401.

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, 1152447 + ... + 1153353.

Almost surely, 2^1045680300 is an apocalyptic number.

1045680300 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 1045680300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954597120).

1045680300 is an abundant number, since it is smaller than the sum of its proper divisors (2863513940).

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

1045680300 is a wasteful number, since it uses less digits than its factorization.

1045680300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

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

The square root of 1045680300 is about 32336.9803785078. The cubic root of 1045680300 is about 1015.0006228409. Note that the first 3 decimals are identical.

The spelling of 1045680300 in words is "one billion, forty-five million, six hundred eighty thousand, three hundred".