1074104900 has 108 divisors (see below), whose sum is σ = 2651171460. Its totient is φ = 376992000.

The previous prime is 1074104893. The next prime is 1074104951. The reversal of 1074104900 is 94014701.

It can be written as a sum of positive squares in 6 ways, for example, as 25381444 + 1048723456 = 5038^2 + 32384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1074104900.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349370 + ... + 352430.

Almost surely, 2^1074104900 is an apocalyptic number.

1074104900 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 1074104900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325585730).

1074104900 is an abundant number, since it is smaller than the sum of its proper divisors (1577066560).

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

1074104900 is a wasteful number, since it uses less digits than its factorization.

1074104900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1074104900 is about 32773.5396318432. The cubic root of 1074104900 is about 1024.1154057452.

The spelling of 1074104900 in words is "one billion, seventy-four million, one hundred four thousand, nine hundred".