105119100416 has 200 divisors, whose sum is σ = 237904992600. Its totient is φ = 46367354880.

The previous prime is 105119100407. The next prime is 105119100439. The reversal of 105119100416 is 614001911501.

105119100416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105119100416² (a number of 23 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 19 ways as a sum of consecutive naturals, for example, 277358915 + ... + 277359293.

It is an arithmetic number, because the mean of its divisors is an integer number (1189524963).

Almost surely, 2^105119100416 is an apocalyptic number.

105119100416 is a gapful number since it is divisible by the number (16) 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 105119100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118952496300).

105119100416 is an abundant number, since it is smaller than the sum of its proper divisors (132785892184).

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

105119100416 is an frugal number, since it uses more digits than its factorization.

105119100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 105119100416 in words is "one hundred five billion, one hundred nineteen million, one hundred thousand, four hundred sixteen".