1004102112 has 96 divisors (see below), whose sum is σ = 2849551488. Its totient is φ = 307754496.

The previous prime is 1004102069. The next prime is 1004102123. The reversal of 1004102112 is 2112014001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351763 + ... + 354605.

It is an arithmetic number, because the mean of its divisors is an integer number (29682828).

Almost surely, 2^1004102112 is an apocalyptic number.

1004102112 is a gapful number since it is divisible by the number (12) 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 1004102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424775744).

1004102112 is an abundant number, since it is smaller than the sum of its proper divisors (1845449376).

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

1004102112 is a wasteful number, since it uses less digits than its factorization.

1004102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1004102112 is about 31687.5703076143. The cubic root of 1004102112 is about 1001.3655052135.

Adding to 1004102112 its reverse (2112014001), we get a palindrome (3116116113).

The spelling of 1004102112 in words is "one billion, four million, one hundred two thousand, one hundred twelve".