7838007105 has 48 divisors (see below), whose sum is σ = 13154898240. Its totient is φ = 3982917120.

The previous prime is 7838007061. The next prime is 7838007113. The reversal of 7838007105 is 5017008387.

It is not a de Polignac number, because 7838007105 - 2⁹ = 7838006593 is a prime.

It is a super-2 number, since 2×7838007105² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080631 + ... + 1087859.

It is an arithmetic number, because the mean of its divisors is an integer number (274060380).

Almost surely, 2^7838007105 is an apocalyptic number.

It is an amenable number.

7838007105 is a deficient number, since it is larger than the sum of its proper divisors (5316891135).

7838007105 is a wasteful number, since it uses less digits than its factorization.

7838007105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 7838007105 is about 88532.5200420727. The cubic root of 7838007105 is about 1986.4084360090.

The spelling of 7838007105 in words is "seven billion, eight hundred thirty-eight million, seven thousand, one hundred five".