1900004100 has 72 divisors (see below), whose sum is σ = 5506605888. Its totient is φ = 505814400.

The previous prime is 1900004077. The next prime is 1900004111. The reversal of 1900004100 is 14000091.

It is a super-2 number, since 2×1900004100² = 7220031160033620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1900004100.

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, 184282 + ... + 194318.

Almost surely, 2^1900004100 is an apocalyptic number.

1900004100 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 1900004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753302944).

1900004100 is an abundant number, since it is smaller than the sum of its proper divisors (3606601788).

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

1900004100 is a wasteful number, since it uses less digits than its factorization.

1900004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10685 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1900004100 is about 43589.0364656068. The cubic root of 1900004100 is about 1238.5632205252.

Adding to 1900004100 its reverse (14000091), we get a palindrome (1914004191).

The spelling of 1900004100 in words is "one billion, nine hundred million, four thousand, one hundred".