1015045200 has 540 divisors, whose sum is σ = 4062273852. Its totient is φ = 233164800.

The previous prime is 1015045139. The next prime is 1015045219. The reversal of 1015045200 is 25405101.

It can be written as a sum of positive squares in 6 ways, for example, as 341954064 + 673091136 = 18492^2 + 25944^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24757180 + ... + 24757220.

Almost surely, 2^1015045200 is an apocalyptic number.

1015045200 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 1015045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031136926).

1015045200 is an abundant number, since it is smaller than the sum of its proper divisors (3047228652).

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

1015045200 is a wasteful number, since it uses less digits than its factorization.

1015045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1015045200 is about 31859.7740104979. The cubic root of 1015045200 is about 1004.9901239098.

The spelling of 1015045200 in words is "one billion, fifteen million, forty-five thousand, two hundred".