1900105974 has 96 divisors (see below), whose sum is σ = 4535949600. Its totient is φ = 571276800.

The previous prime is 1900105957. The next prime is 1900105981. The reversal of 1900105974 is 4795010091.

It is a super-2 number, since 2×1900105974² = 7220805424860977352, which contains 22 as substring.

It is a Curzon number.

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, 3161274 + ... + 3161874.

It is an arithmetic number, because the mean of its divisors is an integer number (47249475).

Almost surely, 2^1900105974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900105974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267974800).

1900105974 is an abundant number, since it is smaller than the sum of its proper divisors (2635843626).

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

1900105974 is a wasteful number, since it uses less digits than its factorization.

1900105974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1900105974 is about 43590.2050236059. The cubic root of 1900105974 is about 1238.5853564660.

The spelling of 1900105974 in words is "one billion, nine hundred million, one hundred five thousand, nine hundred seventy-four".