1156680100 has 81 divisors (see below), whose sum is σ = 2663935617. Its totient is φ = 435872160.

The previous prime is 1156680071. The next prime is 1156680169. The reversal of 1156680100 is 10866511.

The square root of 1156680100 is 34010.

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

It can be written as a sum of positive squares in only one way, i.e., 416404836 + 740275264 = 20406^2 + 27208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6461811 + ... + 6461989.

Almost surely, 2^1156680100 is an apocalyptic number.

1156680100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1156680100 is the 34010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156680100

1156680100 is an abundant number, since it is smaller than the sum of its proper divisors (1507255517).

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

1156680100 is a wasteful number, since it uses less digits than its factorization.

1156680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 1156680100 is about 1049.7142381844.

The spelling of 1156680100 in words is "one billion, one hundred fifty-six million, six hundred eighty thousand, one hundred".