10138777 has 16 divisors (see below), whose sum is σ = 11764800. Its totient is φ = 8648640.

The previous prime is 10138757. The next prime is 10138787. The reversal of 10138777 is 77783101.

10138777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10138777 - 2¹¹ = 10136729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10138717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11374 + ... + 12232.

It is an arithmetic number, because the mean of its divisors is an integer number (735300).

Almost surely, 2^10138777 is an apocalyptic number.

It is an amenable number.

10138777 is a deficient number, since it is larger than the sum of its proper divisors (1626023).

10138777 is a wasteful number, since it uses less digits than its factorization.

10138777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 8232, while the sum is 34.

The square root of 10138777 is about 3184.1446261123. The cubic root of 10138777 is about 216.4355139011.

The spelling of 10138777 in words is "ten million, one hundred thirty-eight thousand, seven hundred seventy-seven".