105042541440 has 64 divisors (see below), whose sum is σ = 334823106960. Its totient is φ = 28011343872.

The previous prime is 105042541393. The next prime is 105042541451. The reversal of 105042541440 is 44145240501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105042541440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105042541398 and 105042541407.

It is a congruent number.

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, 27352909 + ... + 27356748.

Almost surely, 2^105042541440 is an apocalyptic number.

105042541440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105042541440 is an abundant number, since it is smaller than the sum of its proper divisors (229780565520).

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

105042541440 is an equidigital number, since it uses as much as digits as its factorization.

105042541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54709679 (or 54709667 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 105042541440 its reverse (44145240501), we get a palindrome (149187781941).

The spelling of 105042541440 in words is "one hundred five billion, forty-two million, five hundred forty-one thousand, four hundred forty".