105243483840 has 448 divisors, whose sum is σ = 382167700992. Its totient is φ = 24308121600.

The previous prime is 105243483809. The next prime is 105243483853. The reversal of 105243483840 is 48384342501.

It is a super-2 number, since 2×105243483840² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105243483792 and 105243483801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18614454 + ... + 18620106.

It is an arithmetic number, because the mean of its divisors is an integer number (853052904).

Almost surely, 2^105243483840 is an apocalyptic number.

105243483840 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 105243483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191083850496).

105243483840 is an abundant number, since it is smaller than the sum of its proper divisors (276924217152).

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

105243483840 is a wasteful number, since it uses less digits than its factorization.

105243483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 105243483840 in words is "one hundred five billion, two hundred forty-three million, four hundred eighty-three thousand, eight hundred forty".