105354505440 has 384 divisors, whose sum is σ = 376097178240. Its totient is φ = 27537408000.

The previous prime is 105354505439. The next prime is 105354505441. The reversal of 105354505440 is 44505453501.

105354505440 is a `hidden beast` number, since 10 + 5 + 3 + 54 + 50 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105354505439) and next prime (105354505441).

It is a super-2 number, since 2×105354505440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105354505395 and 105354505404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105354505441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 105671022 + ... + 105672018.

It is an arithmetic number, because the mean of its divisors is an integer number (979419735).

Almost surely, 2^105354505440 is an apocalyptic number.

105354505440 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 105354505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188048589120).

105354505440 is an abundant number, since it is smaller than the sum of its proper divisors (270742672800).

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

105354505440 is a wasteful number, since it uses less digits than its factorization.

105354505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 105354505440 its reverse (44505453501), we get a palindrome (149859958941).

The spelling of 105354505440 in words is "one hundred five billion, three hundred fifty-four million, five hundred five thousand, four hundred forty".