1182672100 has 81 divisors (see below), whose sum is σ = 2723628411. Its totient is φ = 445694400.

The previous prime is 1182672097. The next prime is 1182672137. The reversal of 1182672100 is 12762811.

The square root of 1182672100 is 34390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 634737636 + 547934464 = 25194^2 + 23408^2 .

It is a super-2 number, since 2×1182672100² = 2797426592236820000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6534010 + ... + 6534190.

Almost surely, 2^1182672100 is an apocalyptic number.

1182672100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1182672100 is the 34390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1182672100

1182672100 is an abundant number, since it is smaller than the sum of its proper divisors (1540956311).

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

1182672100 is a wasteful number, since it uses less digits than its factorization.

1182672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The cubic root of 1182672100 is about 1057.5188497852.

The spelling of 1182672100 in words is "one billion, one hundred eighty-two million, six hundred seventy-two thousand, one hundred".