1074103128 has 384 divisors, whose sum is σ = 3714048000. Its totient is φ = 279417600.

The previous prime is 1074103091. The next prime is 1074103139. The reversal of 1074103128 is 8213014701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17608218 + ... + 17608278.

It is an arithmetic number, because the mean of its divisors is an integer number (9672000).

Almost surely, 2^1074103128 is an apocalyptic number.

1074103128 is a gapful number since it is divisible by the number (18) 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 1074103128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857024000).

1074103128 is an abundant number, since it is smaller than the sum of its proper divisors (2639944872).

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

1074103128 is a wasteful number, since it uses less digits than its factorization.

1074103128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1074103128 is about 32773.5125978281. The cubic root of 1074103128 is about 1024.1148425682.

Adding to 1074103128 its reverse (8213014701), we get a palindrome (9287117829).

The spelling of 1074103128 in words is "one billion, seventy-four million, one hundred three thousand, one hundred twenty-eight".