105483430980 has 240 divisors, whose sum is σ = 340517580480. Its totient is φ = 27314848512.

The previous prime is 105483430979. The next prime is 105483430999. The reversal of 105483430980 is 89034384501.

105483430980 is a `hidden beast` number, since 1 + 0 + 54 + 83 + 430 + 98 + 0 = 666.

It is a super-2 number, since 2×105483430980² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37101439 + ... + 37104281.

It is an arithmetic number, because the mean of its divisors is an integer number (1418823252).

Almost surely, 2^105483430980 is an apocalyptic number.

105483430980 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 105483430980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170258790240).

105483430980 is an abundant number, since it is smaller than the sum of its proper divisors (235034149500).

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

105483430980 is a wasteful number, since it uses less digits than its factorization.

105483430980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 105483430980 in words is "one hundred five billion, four hundred eighty-three million, four hundred thirty thousand, nine hundred eighty".