105230897268 has 72 divisors (see below), whose sum is σ = 285819660000. Its totient is φ = 30045661632.

The previous prime is 105230897257. The next prime is 105230897273. The reversal of 105230897268 is 862798032501.

It is a super-2 number, since 2×105230897268² (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 105230897268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821718 + ... + 941106.

It is an arithmetic number, because the mean of its divisors is an integer number (3969717500).

Almost surely, 2^105230897268 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 105230897268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142909830000).

105230897268 is an abundant number, since it is smaller than the sum of its proper divisors (180588762732).

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

105230897268 is a wasteful number, since it uses less digits than its factorization.

105230897268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120909 (or 120900 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 105230897268 in words is "one hundred five billion, two hundred thirty million, eight hundred ninety-seven thousand, two hundred sixty-eight".