105230897280 has 384 divisors, whose sum is σ = 377827894080. Its totient is φ = 27987628032.

The previous prime is 105230897279. The next prime is 105230897281. The reversal of 105230897280 is 82798032501.

It is a happy number.

105230897280 is a `hidden beast` number, since 10 + 52 + 308 + 9 + 7 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (105230897279) and next prime (105230897281).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105230897280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (105230897281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85068822 + ... + 85070058.

Almost surely, 2^105230897280 is an apocalyptic number.

105230897280 is a gapful number since it is divisible by the number (10) 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 105230897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188913947040).

105230897280 is an abundant number, since it is smaller than the sum of its proper divisors (272596996800).

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

105230897280 is an equidigital number, since it uses as much as digits as its factorization.

105230897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 105230897280 in words is "one hundred five billion, two hundred thirty million, eight hundred ninety-seven thousand, two hundred eighty".