105355121440 has 96 divisors (see below), whose sum is σ = 253770557040. Its totient is φ = 41318744064.

The previous prime is 105355121437. The next prime is 105355121449. The reversal of 105355121440 is 44121553501.

It can be written as a sum of positive squares in 8 ways, for example, as 88787312784 + 16567808656 = 297972^2 + 128716^2 .

It is a super-2 number, since 2×105355121440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105355121449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16015432 + ... + 16022008.

Almost surely, 2^105355121440 is an apocalyptic number.

105355121440 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 105355121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126885278520).

105355121440 is an abundant number, since it is smaller than the sum of its proper divisors (148415435600).

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

105355121440 is a wasteful number, since it uses less digits than its factorization.

105355121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 105355121440 its reverse (44121553501), we get a palindrome (149476674941).

The spelling of 105355121440 in words is "one hundred five billion, three hundred fifty-five million, one hundred twenty-one thousand, four hundred forty".