106010538777 has 64 divisors (see below), whose sum is σ = 189009918720. Its totient is φ = 57860006400.

The previous prime is 106010538727. The next prime is 106010538791. The reversal of 106010538777 is 777835010601.

106010538777 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 5 + 38 + 7 + 7 + 7 = 666.

It is not a de Polignac number, because 106010538777 - 2⁷ = 106010538649 is a prime.

It is a super-2 number, since 2×106010538777² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106010538727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176538 + ... + 493139.

It is an arithmetic number, because the mean of its divisors is an integer number (2953279980).

Almost surely, 2^106010538777 is an apocalyptic number.

It is an amenable number.

106010538777 is a deficient number, since it is larger than the sum of its proper divisors (82999379943).

106010538777 is a wasteful number, since it uses less digits than its factorization.

106010538777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669751 (or 669745 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 106010538777 in words is "one hundred six billion, ten million, five hundred thirty-eight thousand, seven hundred seventy-seven".