106388825777 has 16 divisors (see below), whose sum is σ = 123407444160. Its totient is φ = 90872736192.

The previous prime is 106388825773. The next prime is 106388825789. The reversal of 106388825777 is 777528883601.

It is a cyclic number.

It is not a de Polignac number, because 106388825777 - 2² = 106388825773 is a prime.

It is a super-2 number, since 2×106388825777² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106388825773) 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, 4997798 + ... + 5019039.

It is an arithmetic number, because the mean of its divisors is an integer number (7712965260).

Almost surely, 2^106388825777 is an apocalyptic number.

It is an amenable number.

106388825777 is a deficient number, since it is larger than the sum of its proper divisors (17018618383).

106388825777 is a wasteful number, since it uses less digits than its factorization.

106388825777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016912.

The product of its (nonzero) digits is 31610880, while the sum is 62.

The spelling of 106388825777 in words is "one hundred six billion, three hundred eighty-eight million, eight hundred twenty-five thousand, seven hundred seventy-seven".