10738105 has 24 divisors (see below), whose sum is σ = 15369480. Its totient is φ = 7176960.

The previous prime is 10738093. The next prime is 10738127. The reversal of 10738105 is 50183701.

10738105 = T₁₆₅ + T₁₆₆ + ... + T₄₀₉.

It can be written as a sum of positive squares in 4 ways, for example, as 5929 + 10732176 = 77^2 + 3276^2 .

It is not a de Polignac number, because 10738105 - 2⁹ = 10737593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10738105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9511 + ... + 10579.

It is an arithmetic number, because the mean of its divisors is an integer number (640395).

Almost surely, 2^10738105 is an apocalyptic number.

It is an amenable number.

10738105 is a deficient number, since it is larger than the sum of its proper divisors (4631375).

10738105 is a wasteful number, since it uses less digits than its factorization.

10738105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 10738105 is about 3276.9047895842. The cubic root of 10738105 is about 220.6188156158.

The spelling of 10738105 in words is "ten million, seven hundred thirty-eight thousand, one hundred five".