18790100 has 72 divisors (see below), whose sum is σ = 49371840. Its totient is φ = 6059520.

The previous prime is 18790091. The next prime is 18790129. The reversal of 18790100 is 109781.

It is a self number, because there is not a number n which added to its sum of digits gives 18790100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11111 + ... + 12689.

It is an arithmetic number, because the mean of its divisors is an integer number (685720).

Almost surely, 2^18790100 is an apocalyptic number.

18790100 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 18790100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24685920).

18790100 is an abundant number, since it is smaller than the sum of its proper divisors (30581740).

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

18790100 is a wasteful number, since it uses less digits than its factorization.

18790100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 18790100 is about 4334.7548950316. The cubic root of 18790100 is about 265.8538968139.

Adding to 18790100 its reverse (109781), we get a palindrome (18899881).

The spelling of 18790100 in words is "eighteen million, seven hundred ninety thousand, one hundred".