1040033100 has 72 divisors (see below), whose sum is σ = 3014338320. Its totient is φ = 276865280.

The previous prime is 1040033087. The next prime is 1040033107. The reversal of 1040033100 is 13300401.

It is a super-2 number, since 2×1040033100² = 2163337698191220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1040033107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193246 + ... + 198554.

It is an arithmetic number, because the mean of its divisors is an integer number (41865810).

Almost surely, 2^1040033100 is an apocalyptic number.

1040033100 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 1040033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507169160).

1040033100 is an abundant number, since it is smaller than the sum of its proper divisors (1974305220).

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

1040033100 is a wasteful number, since it uses less digits than its factorization.

1040033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1040033100 is about 32249.5441828253. The cubic root of 1040033100 is about 1013.1701522883.

Adding to 1040033100 its reverse (13300401), we get a palindrome (1053333501).

The spelling of 1040033100 in words is "one billion, forty million, thirty-three thousand, one hundred".