105064230960 has 480 divisors, whose sum is σ = 404818464960. Its totient is φ = 24334442496.

The previous prime is 105064230917. The next prime is 105064230961. The reversal of 105064230960 is 69032460501.

It is a happy number.

105064230960 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 642 + 3 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×105064230960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105064230961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26889327 + ... + 26893233.

It is an arithmetic number, because the mean of its divisors is an integer number (843371802).

Almost surely, 2^105064230960 is an apocalyptic number.

105064230960 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 105064230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202409232480).

105064230960 is an abundant number, since it is smaller than the sum of its proper divisors (299754234000).

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

105064230960 is a wasteful number, since it uses less digits than its factorization.

105064230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 105064230960 in words is "one hundred five billion, sixty-four million, two hundred thirty thousand, nine hundred sixty".