105444938340 has 288 divisors, whose sum is σ = 371326685184. Its totient is φ = 23723089920.

The previous prime is 105444938329. The next prime is 105444938387. The reversal of 105444938340 is 43839444501.

105444938340 is a `hidden beast` number, since 1 + 0 + 5 + 44 + 493 + 83 + 40 = 666.

It is a super-2 number, since 2×105444938340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23341762 + ... + 23346278.

It is an arithmetic number, because the mean of its divisors is an integer number (1289328768).

Almost surely, 2^105444938340 is an apocalyptic number.

105444938340 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 105444938340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185663342592).

105444938340 is an abundant number, since it is smaller than the sum of its proper divisors (265881746844).

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

105444938340 is a wasteful number, since it uses less digits than its factorization.

105444938340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 105444938340 in words is "one hundred five billion, four hundred forty-four million, nine hundred thirty-eight thousand, three hundred forty".