19189445103100 has 144 divisors (see below), whose sum is σ = 44210467536480. Its totient is φ = 7209381888000.

The previous prime is 19189445103067. The next prime is 19189445103121. The reversal of 19189445103100 is 130154498191.

It is a super-2 number, since 2×19189445103100² (a number of 27 digits) 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 47 ways as a sum of consecutive naturals, for example, 107353800 + ... + 107532400.

It is an arithmetic number, because the mean of its divisors is an integer number (307017135670).

Almost surely, 2^{19189445103100} is an apocalyptic number.

19189445103100 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 19189445103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22105233768240).

19189445103100 is an abundant number, since it is smaller than the sum of its proper divisors (25021022433380).

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

19189445103100 is a wasteful number, since it uses less digits than its factorization.

19189445103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179120 (or 179113 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 19189445103100 in words is "nineteen trillion, one hundred eighty-nine billion, four hundred forty-five million, one hundred three thousand, one hundred".