106388825767 has 8 divisors (see below), whose sum is σ = 121593632256. Its totient is φ = 91185619992.

The previous prime is 106388825759. The next prime is 106388825773. The reversal of 106388825767 is 767528883601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106388825767 - 2³ = 106388825759 is a prime.

It is a super-2 number, since 2×106388825767² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106388825167) 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 7 ways as a sum of consecutive naturals, for example, 254203 + ... + 526684.

It is an arithmetic number, because the mean of its divisors is an integer number (15199204032).

Almost surely, 2^106388825767 is an apocalyptic number.

106388825767 is a deficient number, since it is larger than the sum of its proper divisors (15204806489).

106388825767 is an equidigital number, since it uses as much as digits as its factorization.

106388825767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800357.

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 106388825767 in words is "one hundred six billion, three hundred eighty-eight million, eight hundred twenty-five thousand, seven hundred sixty-seven".