1826141100 has 144 divisors (see below), whose sum is σ = 6111775488. Its totient is φ = 412335360.

The previous prime is 1826141077. The next prime is 1826141111. The reversal of 1826141100 is 11416281.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169062 + ... + 179538.

Almost surely, 2^1826141100 is an apocalyptic number.

1826141100 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 1826141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055887744).

1826141100 is an abundant number, since it is smaller than the sum of its proper divisors (4285634388).

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

1826141100 is a wasteful number, since it uses less digits than its factorization.

1826141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1826141100 is about 42733.3722048705. The cubic root of 1826141100 is about 1222.3008403362.

Adding to 1826141100 its reverse (11416281), we get a palindrome (1837557381).

The spelling of 1826141100 in words is "one billion, eight hundred twenty-six million, one hundred forty-one thousand, one hundred".