190105351872 has 112 divisors (see below), whose sum is σ = 511775537280. Its totient is φ = 62262355968.

The previous prime is 190105351853. The next prime is 190105351921. The reversal of 190105351872 is 278153501091.

It is a super-2 number, since 2×190105351872² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33448743 + ... + 33454425.

It is an arithmetic number, because the mean of its divisors is an integer number (4569424440).

Almost surely, 2^190105351872 is an apocalyptic number.

190105351872 is a gapful number since it is divisible by the number (12) 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 190105351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255887768640).

190105351872 is an abundant number, since it is smaller than the sum of its proper divisors (321670185408).

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

190105351872 is a wasteful number, since it uses less digits than its factorization.

190105351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8710 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 190105351872 in words is "one hundred ninety billion, one hundred five million, three hundred fifty-one thousand, eight hundred seventy-two".