18946100 has 36 divisors (see below), whose sum is σ = 42124908. Its totient is φ = 7392000.

The previous prime is 18946099. The next prime is 18946111. The reversal of 18946100 is 164981.

It can be written as a sum of positive squares in 6 ways, for example, as 4169764 + 14776336 = 2042^2 + 3844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1790 + ... + 6410.

Almost surely, 2^18946100 is an apocalyptic number.

18946100 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 18946100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062454).

18946100 is an abundant number, since it is smaller than the sum of its proper divisors (23178808).

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

18946100 is a wasteful number, since it uses less digits than its factorization.

18946100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 18946100 is about 4352.7117984080. The cubic root of 18946100 is about 266.5875980857.

The spelling of 18946100 in words is "eighteen million, nine hundred forty-six thousand, one hundred".