10145857777 has 16 divisors (see below), whose sum is σ = 11109309120. Its totient is φ = 9189331200.

The previous prime is 10145857759. The next prime is 10145857781. The reversal of 10145857777 is 77775854101.

10145857777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10145857777 - 2⁷ = 10145857649 is a prime.

It is a super-2 number, since 2×10145857777² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10145857577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4023277 + ... + 4025797.

It is an arithmetic number, because the mean of its divisors is an integer number (694331820).

Almost surely, 2^10145857777 is an apocalyptic number.

It is an amenable number.

10145857777 is a deficient number, since it is larger than the sum of its proper divisors (963451343).

10145857777 is a wasteful number, since it uses less digits than its factorization.

10145857777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744.

The product of its (nonzero) digits is 1920800, while the sum is 52.

The spelling of 10145857777 in words is "ten billion, one hundred forty-five million, eight hundred fifty-seven thousand, seven hundred seventy-seven".