1075985100 has 288 divisors, whose sum is σ = 3616435200. Its totient is φ = 274233600.

The previous prime is 1075985077. The next prime is 1075985101. The reversal of 1075985100 is 15895701.

1075985100 is a `hidden beast` number, since 10 + 7 + 598 + 51 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1075985101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7740831 + ... + 7740969.

Almost surely, 2^1075985100 is an apocalyptic number.

1075985100 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 1075985100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808217600).

1075985100 is an abundant number, since it is smaller than the sum of its proper divisors (2540450100).

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

1075985100 is a wasteful number, since it uses less digits than its factorization.

1075985100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 1075985100 is about 32802.2118156688. The cubic root of 1075985100 is about 1024.7126221921.

It can be divided in two parts, 10759 and 85100, that added together give a palindrome (95859).

The spelling of 1075985100 in words is "one billion, seventy-five million, nine hundred eighty-five thousand, one hundred".