19954100 has 36 divisors (see below), whose sum is σ = 44478924. Its totient is φ = 7764480.

The previous prime is 19954097. The next prime is 19954139. The reversal of 19954100 is 145991.

It can be written as a sum of positive squares in 6 ways, for example, as 2598544 + 17355556 = 1612^2 + 4166^2 .

It is a super-2 number, since 2×19954100² = 796332213620000, which contains 22 as substring.

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, 1004 + ... + 6396.

Almost surely, 2^19954100 is an apocalyptic number.

19954100 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 19954100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239462).

19954100 is an abundant number, since it is smaller than the sum of its proper divisors (24524824).

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

19954100 is a wasteful number, since it uses less digits than its factorization.

19954100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 19954100 is about 4467.0012312512. The cubic root of 19954100 is about 271.2339496545.

The spelling of 19954100 in words is "nineteen million, nine hundred fifty-four thousand, one hundred".