105007381744 has 20 divisors (see below), whose sum is σ = 203633005096. Its totient is φ = 52456928832.

The previous prime is 105007381711. The next prime is 105007381799. The reversal of 105007381744 is 447183700501.

It is a happy number.

It is a super-2 number, since 2×105007381744² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105007381697 and 105007381706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2904099 + ... + 2940034.

Almost surely, 2^105007381744 is an apocalyptic number.

It is an amenable number.

105007381744 is a deficient number, since it is larger than the sum of its proper divisors (98625623352).

105007381744 is a wasteful number, since it uses less digits than its factorization.

105007381744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845264 (or 5845258 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 105007381744 in words is "one hundred five billion, seven million, three hundred eighty-one thousand, seven hundred forty-four".