105419271336 has 256 divisors, whose sum is σ = 295181107200. Its totient is φ = 31222886400.

The previous prime is 105419271329. The next prime is 105419271341. The reversal of 105419271336 is 633172914501.

It is a super-2 number, since 2×105419271336² (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 63 ways as a sum of consecutive naturals, for example, 107241901 + ... + 107242883.

It is an arithmetic number, because the mean of its divisors is an integer number (1153051200).

Almost surely, 2^105419271336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105419271336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147590553600).

105419271336 is an abundant number, since it is smaller than the sum of its proper divisors (189761835864).

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

105419271336 is a wasteful number, since it uses less digits than its factorization.

105419271336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 105419271336 in words is "one hundred five billion, four hundred nineteen million, two hundred seventy-one thousand, three hundred thirty-six".