105481530 has 192 divisors, whose sum is σ = 353673216. Its totient is φ = 21168000.

The previous prime is 105481507. The next prime is 105481531. The reversal of 105481530 is 35184501.

105481530 is a `hidden beast` number, since 1 + 0 + 54 + 81 + 530 = 666.

It is a super-2 number, since 2×105481530² = 22252706342281800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105481494 and 105481503.

It is not an unprimeable number, because it can be changed into a prime (105481531) 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, 214585 + ... + 215075.

It is an arithmetic number, because the mean of its divisors is an integer number (1842048).

Almost surely, 2^105481530 is an apocalyptic number.

105481530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105481530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176836608).

105481530 is an abundant number, since it is smaller than the sum of its proper divisors (248191686).

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

105481530 is a wasteful number, since it uses less digits than its factorization.

105481530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105481530 is about 10270.4201471994. The cubic root of 105481530 is about 472.4894765440.

The spelling of 105481530 in words is "one hundred five million, four hundred eighty-one thousand, five hundred thirty".