1045111100 has 72 divisors (see below), whose sum is σ = 2504089728. Its totient is φ = 375428800.

The previous prime is 1045111097. The next prime is 1045111103. The reversal of 1045111100 is 11115401.

1045111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045111097) and next prime (1045111103).

It is a super-2 number, since 2×1045111100² = 2184514422686420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045111103) 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, 85577 + ... + 97023.

It is an arithmetic number, because the mean of its divisors is an integer number (34779024).

Almost surely, 2^1045111100 is an apocalyptic number.

1045111100 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 1045111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252044864).

1045111100 is an abundant number, since it is smaller than the sum of its proper divisors (1458978628).

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

1045111100 is a wasteful number, since it uses less digits than its factorization.

1045111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555 (or 11548 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 1045111100 is about 32328.1781113628. The cubic root of 1045111100 is about 1014.8164227516.

Adding to 1045111100 its reverse (11115401), we get a palindrome (1056226501).

The spelling of 1045111100 in words is "one billion, forty-five million, one hundred eleven thousand, one hundred".