106542514777 has 8 divisors (see below), whose sum is σ = 107650911816. Its totient is φ = 105434322432.

The previous prime is 106542514721. The next prime is 106542514787. The reversal of 106542514777 is 777415245601.

It can be written as a sum of positive squares in 4 ways, for example, as 22891992601 + 83650522176 = 151301^2 + 289224^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106542514777 is a prime.

It is a super-2 number, since 2×106542514777² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106542514777.

It is not an unprimeable number, because it can be changed into a prime (106542514717) 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 7 ways as a sum of consecutive naturals, for example, 1138083 + ... + 1228135.

It is an arithmetic number, because the mean of its divisors is an integer number (13456363977).

Almost surely, 2^106542514777 is an apocalyptic number.

It is an amenable number.

106542514777 is a deficient number, since it is larger than the sum of its proper divisors (1108397039).

106542514777 is an equidigital number, since it uses as much as digits as its factorization.

106542514777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102347.

The product of its (nonzero) digits is 1646400, while the sum is 49.

The spelling of 106542514777 in words is "one hundred six billion, five hundred forty-two million, five hundred fourteen thousand, seven hundred seventy-seven".