106006511141 has 8 divisors (see below), whose sum is σ = 106519735320. Its totient is φ = 105493724928.

The previous prime is 106006511137. The next prime is 106006511167. The reversal of 106006511141 is 141115600601.

It can be written as a sum of positive squares in 4 ways, for example, as 36006580516 + 69999930625 = 189754^2 + 264575^2 .

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 106006511141 - 2² = 106006511137 is a prime.

It is a super-2 number, since 2×106006511141² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106006511141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006511041) 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, 381065 + ... + 597681.

It is an arithmetic number, because the mean of its divisors is an integer number (13314966915).

Almost surely, 2^106006511141 is an apocalyptic number.

It is an amenable number.

106006511141 is a deficient number, since it is larger than the sum of its proper divisors (513224179).

106006511141 is a wasteful number, since it uses less digits than its factorization.

106006511141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218983.

The product of its (nonzero) digits is 720, while the sum is 26.

The spelling of 106006511141 in words is "one hundred six billion, six million, five hundred eleven thousand, one hundred forty-one".