105367301440 has 56 divisors (see below), whose sum is σ = 250960509000. Its totient is φ = 42137745408.

The previous prime is 105367301399. The next prime is 105367301461. The reversal of 105367301440 is 44103763501.

It can be written as a sum of positive squares in 4 ways, for example, as 8909849664 + 96457451776 = 94392^2 + 310576^2 .

It is a super-2 number, since 2×105367301440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105367301396 and 105367301405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545186 + ... + 1611934.

Almost surely, 2^105367301440 is an apocalyptic number.

105367301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105367301440 is an abundant number, since it is smaller than the sum of its proper divisors (145593207560).

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

105367301440 is an equidigital number, since it uses as much as digits as its factorization.

105367301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71699 (or 71689 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 105367301440 in words is "one hundred five billion, three hundred sixty-seven million, three hundred one thousand, four hundred forty".