106676742881 has 8 divisors (see below), whose sum is σ = 109608959400. Its totient is φ = 103747108608.

The previous prime is 106676742877. The next prime is 106676742889. The reversal of 106676742881 is 188247676601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57552010000 + 49124732881 = 239900^2 + 221641^2 .

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 106676742881 - 2² = 106676742877 is a prime.

It is a super-2 number, since 2×106676742881² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106676742889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561656 + ... + 727193.

It is an arithmetic number, because the mean of its divisors is an integer number (13701119925).

Almost surely, 2^106676742881 is an apocalyptic number.

It is an amenable number.

106676742881 is a deficient number, since it is larger than the sum of its proper divisors (2932216519).

106676742881 is a wasteful number, since it uses less digits than its factorization.

106676742881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291123.

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 106676742881 in words is "one hundred six billion, six hundred seventy-six million, seven hundred forty-two thousand, eight hundred eighty-one".