105214545440 has 48 divisors (see below), whose sum is σ = 248694219648. Its totient is φ = 42064678656.

The previous prime is 105214545437. The next prime is 105214545523. The reversal of 105214545440 is 44545412501.

It is a super-2 number, since 2×105214545440² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105214545440.

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 7 ways as a sum of consecutive naturals, for example, 156329 + ... + 484631.

It is an arithmetic number, because the mean of its divisors is an integer number (5181129576).

Almost surely, 2^105214545440 is an apocalyptic number.

105214545440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105214545440 is an abundant number, since it is smaller than the sum of its proper divisors (143479674208).

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

105214545440 is a wasteful number, since it uses less digits than its factorization.

105214545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330321 (or 330313 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 105214545440 its reverse (44545412501), we get a palindrome (149759957941).

The spelling of 105214545440 in words is "one hundred five billion, two hundred fourteen million, five hundred forty-five thousand, four hundred forty".