106071677755 has 16 divisors (see below), whose sum is σ = 127794902400. Its totient is φ = 84518277120.

The previous prime is 106071677753. The next prime is 106071677779. The reversal of 106071677755 is 557776170601.

It is a happy number.

It is not a de Polignac number, because 106071677755 - 2¹ = 106071677753 is a prime.

It is a super-2 number, since 2×106071677755² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106071677753) 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, 5259531 + ... + 5279659.

It is an arithmetic number, because the mean of its divisors is an integer number (7987181400).

Almost surely, 2^106071677755 is an apocalyptic number.

106071677755 is a deficient number, since it is larger than the sum of its proper divisors (21723224645).

106071677755 is a wasteful number, since it uses less digits than its factorization.

106071677755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24294.

The product of its (nonzero) digits is 2160900, while the sum is 52.

The spelling of 106071677755 in words is "one hundred six billion, seventy-one million, six hundred seventy-seven thousand, seven hundred fifty-five".