105485233360 has 80 divisors (see below), whose sum is σ = 273226418640. Its totient is φ = 37605335040.

The previous prime is 105485233303. The next prime is 105485233363. The reversal of 105485233360 is 63332584501.

It can be written as a sum of positive squares in 8 ways, for example, as 205750336 + 105279483024 = 14344^2 + 324468^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105485233360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105485233363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1718601 + ... + 1778920.

It is an arithmetic number, because the mean of its divisors is an integer number (3415330233).

Almost surely, 2^105485233360 is an apocalyptic number.

105485233360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105485233360 is an abundant number, since it is smaller than the sum of its proper divisors (167741185280).

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

105485233360 is a wasteful number, since it uses less digits than its factorization.

105485233360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497576 (or 3497570 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 105485233360 in words is "one hundred five billion, four hundred eighty-five million, two hundred thirty-three thousand, three hundred sixty".