106361551516541 has 8 divisors (see below), whose sum is σ = 106707508000704. Its totient is φ = 106015620404320.

The previous prime is 106361551516513. The next prime is 106361551516553. The reversal of 106361551516541 is 145615155163601.

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 106361551516541 - 2⁶ = 106361551516477 is a prime.

It is a super-2 number, since 2×106361551516541² (a number of 29 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 106361551516541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106361551516841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2072966 + ... + 14731608.

It is an arithmetic number, because the mean of its divisors is an integer number (13338438500088).

Almost surely, 2^{106361551516541} is an apocalyptic number.

It is an amenable number.

106361551516541 is a deficient number, since it is larger than the sum of its proper divisors (345956484163).

106361551516541 is a wasteful number, since it uses less digits than its factorization.

106361551516541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12685971.

The product of its (nonzero) digits is 1620000, while the sum is 50.

The spelling of 106361551516541 in words is "one hundred six trillion, three hundred sixty-one billion, five hundred fifty-one million, five hundred sixteen thousand, five hundred forty-one".