105444546340 has 96 divisors (see below), whose sum is σ = 254693101824. Its totient is φ = 35920765440.

The previous prime is 105444546329. The next prime is 105444546353. The reversal of 105444546340 is 43645444501.

It is a happy number.

It is a super-2 number, since 2×105444546340² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105444546293 and 105444546302.

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 31 ways as a sum of consecutive naturals, for example, 17189914 + ... + 17196046.

It is an arithmetic number, because the mean of its divisors is an integer number (2653053144).

Almost surely, 2^105444546340 is an apocalyptic number.

105444546340 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 105444546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127346550912).

105444546340 is an abundant number, since it is smaller than the sum of its proper divisors (149248555484).

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

105444546340 is a wasteful number, since it uses less digits than its factorization.

105444546340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 105444546340 in words is "one hundred five billion, four hundred forty-four million, five hundred forty-six thousand, three hundred forty".