105483414660 has 288 divisors, whose sum is σ = 334903312128. Its totient is φ = 24657177600.

The previous prime is 105483414629. The next prime is 105483414677. The reversal of 105483414660 is 66414384501.

It is a super-2 number, since 2×105483414660² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62304774 + ... + 62306466.

Almost surely, 2^105483414660 is an apocalyptic number.

105483414660 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 105483414660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167451656064).

105483414660 is an abundant number, since it is smaller than the sum of its proper divisors (229419897468).

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

105483414660 is a wasteful number, since it uses less digits than its factorization.

105483414660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 105483414660 in words is "one hundred five billion, four hundred eighty-three million, four hundred fourteen thousand, six hundred sixty".