105423523240 has 128 divisors (see below), whose sum is σ = 292451938560. Its totient is φ = 33377071104.

The previous prime is 105423523193. The next prime is 105423523267. The reversal of 105423523240 is 42325324501.

It is a super-2 number, since 2×105423523240² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43339 + ... + 461221.

It is an arithmetic number, because the mean of its divisors is an integer number (2284780770).

Almost surely, 2^105423523240 is an apocalyptic number.

105423523240 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 105423523240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146225969280).

105423523240 is an abundant number, since it is smaller than the sum of its proper divisors (187028415320).

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

105423523240 is a wasteful number, since it uses less digits than its factorization.

105423523240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417971 (or 417967 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 105423523240 its reverse (42325324501), we get a palindrome (147748847741).

The spelling of 105423523240 in words is "one hundred five billion, four hundred twenty-three million, five hundred twenty-three thousand, two hundred forty".