1072092100 has 72 divisors (see below), whose sum is σ = 2555461440. Its totient is φ = 388586880.

The previous prime is 1072092061. The next prime is 1072092113. The reversal of 1072092100 is 12902701.

It is a super-2 number, since 2×1072092100² = 2298762941764820000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31434 + ... + 55966.

It is an arithmetic number, because the mean of its divisors is an integer number (35492520).

Almost surely, 2^1072092100 is an apocalyptic number.

1072092100 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 1072092100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277730720).

1072092100 is an abundant number, since it is smaller than the sum of its proper divisors (1483369340).

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

1072092100 is a wasteful number, since it uses less digits than its factorization.

1072092100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24589 (or 24582 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 1072092100 is about 32742.8175330102. The cubic root of 1072092100 is about 1023.4752980504.

Adding to 1072092100 its reverse (12902701), we get a palindrome (1084994801).

The spelling of 1072092100 in words is "one billion, seventy-two million, ninety-two thousand, one hundred".