106776166401 has 24 divisors (see below), whose sum is σ = 156020592000. Its totient is φ = 70363194912.

The previous prime is 106776166361. The next prime is 106776166411. The reversal of 106776166401 is 104661677601.

106776166401 is a `hidden beast` number, since 10 + 6 + 7 + 76 + 166 + 401 = 666.

It is not a de Polignac number, because 106776166401 - 2¹⁷ = 106776035329 is a prime.

It is a super-2 number, since 2×106776166401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106776166411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100120 + ... + 472838.

It is an arithmetic number, because the mean of its divisors is an integer number (6500858000).

Almost surely, 2^106776166401 is an apocalyptic number.

It is an amenable number.

106776166401 is a deficient number, since it is larger than the sum of its proper divisors (49244425599).

106776166401 is a wasteful number, since it uses less digits than its factorization.

106776166401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373093 (or 373090 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 106776166401 in words is "one hundred six billion, seven hundred seventy-six million, one hundred sixty-six thousand, four hundred one".