105083640480 has 768 divisors, whose sum is σ = 432653598720. Its totient is φ = 20818280448.

The previous prime is 105083640463. The next prime is 105083640511. The reversal of 105083640480 is 84046380501.

It is a super-2 number, since 2×105083640480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105399342 + ... + 105400338.

It is an arithmetic number, because the mean of its divisors is an integer number (563351040).

Almost surely, 2^105083640480 is an apocalyptic number.

105083640480 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 105083640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216326799360).

105083640480 is an abundant number, since it is smaller than the sum of its proper divisors (327569958240).

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

105083640480 is a wasteful number, since it uses less digits than its factorization.

105083640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 105083640480 in words is "one hundred five billion, eighty-three million, six hundred forty thousand, four hundred eighty".