1004111100 has 144 divisors (see below), whose sum is σ = 3239792640. Its totient is φ = 266788800.

The previous prime is 1004111099. The next prime is 1004111113. The reversal of 1004111100 is 11114001.

It is a super-2 number, since 2×1004111100² = 2016478202286420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033615 + ... + 1034585.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 2^1004111100 is an apocalyptic number.

1004111100 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 1004111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

1004111100 is an abundant number, since it is smaller than the sum of its proper divisors (2235681540).

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

1004111100 is a wasteful number, since it uses less digits than its factorization.

1004111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1004111100 is about 31687.7121294675. The cubic root of 1004111100 is about 1001.3684930392.

Adding to 1004111100 its reverse (11114001), we get a palindrome (1015225101).

The spelling of 1004111100 in words is "one billion, four million, one hundred eleven thousand, one hundred".