1145296100 has 90 divisors (see below), whose sum is σ = 2699107194. Its totient is φ = 421824000.

The previous prime is 1145296081. The next prime is 1145296121. The reversal of 1145296100 is 16925411.

It can be written as a sum of positive squares in 15 ways, for example, as 1105429504 + 39866596 = 33248^2 + 6314^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2855900 + ... + 2856300.

Almost surely, 2^1145296100 is an apocalyptic number.

1145296100 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 1145296100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349553597).

1145296100 is an abundant number, since it is smaller than the sum of its proper divisors (1553811094).

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

1145296100 is an equidigital number, since it uses as much as digits as its factorization.

1145296100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 1145296100 is about 33842.2236267063. The cubic root of 1145296100 is about 1046.2591295231.

The spelling of 1145296100 in words is "one billion, one hundred forty-five million, two hundred ninety-six thousand, one hundred".