1076496100 has 81 divisors (see below), whose sum is σ = 2494415217. Its totient is φ = 403169280.

The previous prime is 1076496089. The next prime is 1076496103. The reversal of 1076496100 is 16946701.

The square root of 1076496100 is 32810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 663268516 + 413227584 = 25754^2 + 20328^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1076496103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5577604 + ... + 5577796.

Almost surely, 2^1076496100 is an apocalyptic number.

1076496100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1076496100 is the 32810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076496100

1076496100 is an abundant number, since it is smaller than the sum of its proper divisors (1417919117).

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

1076496100 is a wasteful number, since it uses less digits than its factorization.

1076496100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The cubic root of 1076496100 is about 1024.8748131862.

The spelling of 1076496100 in words is "one billion, seventy-six million, four hundred ninety-six thousand, one hundred".