1045364600 has 96 divisors (see below), whose sum is σ = 2836961280. Its totient is φ = 350762880.

The previous prime is 1045364597. The next prime is 1045364603. The reversal of 1045364600 is 64635401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1045364597) and next prime (1045364603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045364603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57857 + ... + 73743.

It is an arithmetic number, because the mean of its divisors is an integer number (29551680).

Almost surely, 2^1045364600 is an apocalyptic number.

1045364600 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 1045364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418480640).

1045364600 is an abundant number, since it is smaller than the sum of its proper divisors (1791596680).

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

1045364600 is a wasteful number, since it uses less digits than its factorization.

1045364600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1045364600 is about 32332.0986018539. The cubic root of 1045364600 is about 1014.8984667136.

The spelling of 1045364600 in words is "one billion, forty-five million, three hundred sixty-four thousand, six hundred".