105597226112 has 256 divisors, whose sum is σ = 269336793600. Its totient is φ = 40174092288.

The previous prime is 105597226103. The next prime is 105597226127. The reversal of 105597226112 is 211622795501.

It is a super-2 number, since 2×105597226112² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105597226112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25572464 + ... + 25576592.

It is an arithmetic number, because the mean of its divisors is an integer number (1052096850).

Almost surely, 2^105597226112 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 105597226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134668396800).

105597226112 is an abundant number, since it is smaller than the sum of its proper divisors (163739567488).

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

105597226112 is a wasteful number, since it uses less digits than its factorization.

105597226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 105597226112 in words is "one hundred five billion, five hundred ninety-seven million, two hundred twenty-six thousand, one hundred twelve".