105485321520 has 400 divisors, whose sum is σ = 388271711520. Its totient is φ = 26495078400.

The previous prime is 105485321519. The next prime is 105485321527. The reversal of 105485321520 is 25123584501.

105485321520 is a `hidden beast` number, since 1 + 0 + 54 + 85 + 3 + 2 + 1 + 520 = 666.

It is a super-2 number, since 2×105485321520² (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 (105485321527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7697875 + ... + 7711565.

Almost surely, 2^105485321520 is an apocalyptic number.

105485321520 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 105485321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194135855760).

105485321520 is an abundant number, since it is smaller than the sum of its proper divisors (282786390000).

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

105485321520 is a wasteful number, since it uses less digits than its factorization.

105485321520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13786 (or 13771 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 105485321520 in words is "one hundred five billion, four hundred eighty-five million, three hundred twenty-one thousand, five hundred twenty".